The Australian has played in all the previous four editions of the tournament, but has stated he will instead spend time with his family rather than represent Team World at the O2 Arena.
Wimbledon runner-up Kyrgios has not played a singles match since his defeat to Novak Djokovic in the final in SW19 on July 10.
He has been involved in doubles action, however, winning the doubles title at the Atlanta Open with playing partner Thanasi Kokkinakis.
Kyrgios' absence will be a big blow for Team World in London next month, which is due to be captained by John McEnroe.
In an Instagram story, Kyrgios said: "No Laver Cup for me this year!!! Just letting you all know. Gotta have that home time with my family and beautiful girlfriend."
Murray won the match 7-6 (7-5) 6-2 to advance to the final, where he will play Matteo Berrettini on Sunday.
However, Kyrgios had greater concerns as he took to Instagram afterwards to say he was called a "little black sheep" by someone in attendance.
"When is this going to stop? Dealing with racial slurs from the crowd?" he wrote.
"I understand that my behaviour isn't the best all the time – but 'you little black sheep', 'shut up and play' – little comments like this are not acceptable. When I retaliate to the crowd, I get penalised. This is messed up."
Meanwhile, Murray's win saw him reach his first tour-level final on grass since 2016.
The three-time major winner upset Stefanos Tsitsipas in the previous round – his first win over a top-five opponent in six years – and followed that up against Kyrgios with another impressive performance.
"A lot of ups and downs, but I kept going and kept working and finally managed to get to another one. I am proud of the effort I have put in," Murray said after securing the win.
He moves up to 47th in the live ATP rankings – the first time he has been in the top 50 since May 2018 – and his clash with Berrettini will be his 70th career final.
"You're always battling yourself as well as the opponent, it's one of the difficult things about individual sports," he added in relation to Kyrgios' frustrations during the game.
"Nick has the potential to be one of the best players in the world, there's absolutely no question about that. But he obviously got very frustrated in the second set and made it a lot easier for me.
"I'm happy to be in the final. I've played well this week and I've got a great opportunity against Matteo tomorrow."
It remains to be seen whether world number one Djokovic will defend his Australian Open title in Melbourne in January due to vaccination requirements.
The state of Victoria, where the year's opening grand slam takes place at Melbourne Park, has introduced a vaccine mandate for professional athletes and across most industries amid the coronavirus pandemic.
The 2021 Australian Open went ahead, albeit in February instead of January, and without fans for most of the tournament following a snap lockdown of Melbourne due to COVID-19.
Djokovic was among the players critical of the conditions athletes endured prior to this year's Australian Open, with strict quarantine measures introduced.
Kyrgios and Djokovic have clashed in the past, but the former backed the nine-time Australian Open champion as he called for the upcoming grand slam to be scrapped.
"I don't think the Aus Open should go ahead, just for the people in Melbourne – you’ve got to send a message," Australian former world number 13 Kyrgios said on his 'No Boundaries' podcast.
"How long did [Melbourne] do in lockdown? 275 days or something?"
Kyrgios also referenced Brooklyn Nets star and NBA champion Kyrie Irving, who is yet to feature this season due to his refusal to be vaccinated against coronavirus, which is preventing him from practicing or playing – New York has a mandate in place that states players must have had a COVID-19 jab.
Kyrgios – an Australian Open quarter-finalist in 2015 – added: "Kyrie, Novak … These guys have given so much, sacrificed so much. They are global athletes who millions of people look up to.
"I just think it is so morally wrong to force someone to be vaccinated.
"I'm double vaccinated, but I just don't think it's right to force anyone [to be vaccinated] and say 'you can't come and play here because you're not vaccinated'.
"There are other solutions around it, [such as] to get tested every day. In the [United] States I know they've got rapid tests, and it's coming to Australia. It's 85 per cent success rate, you wait 15 minutes and then you're allowed to play."
Victorian sports minister Martin Pakula hit back on Tuesday, telling reporters: "I really like Nick Kyrgios and I cheer for him every time he plays and I certainly don't want to have beef with Nick Kyrgios but I actually couldn't follow the logic of his comments. We've had a long lockdown so the Australian Open shouldn't proceed? I'm not sure I follow that.
"I think the opposite applies. Melburnians, Victorians and, frankly all Australians, are absolutely gagging for major events. Our economy needs it, our state psyche needs it. It's a global grand slam, it's going to go ahead."
The enigmatic Australian triumphed 6-3 6-0 in 52 minutes to clinch a third round clash with Italian Fabio Fognini, who won in three sets against Japanese Taro Daniel.
The victory marks Kyrgios' third win over a top 10 opponent in the past two tournaments, having topped both Casper Ruud and Jannik Sinner at Indian Wells earlier this month.
Rublev had won titles in Marseille and Dubai earlier this season but was not allowed to settle by Kyrgios who sent down 10-5 aces and had a first serve percentage of 80 per cent.
"I know that he's a player who relies on a bit of rhythm, so I just tried to keep the points short and sharp, just play aggressive," Kyrgios said after the match.
"I'm just happy with my performance, whether it's 7-6 in the third or something like this, I'm just happy to get through."
Second seed Alexander Zverev was made to work for victory against Croatian Borna Coric, winning 6-4 3-6 6-3 in two hours and one minute.
The win marks the 2018 Miami Open runner-up's first triumph at the event since that run to the final.
Sixth seed Ruud eased past Henri Laaksonen 6-1 6-2, while ninth seed Sinner defeated Emil Ruusuvuori 6-4 3-6 7-6 (10-8) in two hours and 40 minutes.
Several seeds were beaten included 13th seed Diego Schwartzman who went down 4-6 7-6 (7-3) 6-4 to Thanasi Kokkinakis. Seeds Lorenzo Sonego, Grigor Dimitrov, Reilly Opelka and John Isner also exited.
Gael Monfils defeated Oscar Otte 7-6 (11-9) 6-1, Pablo Carreno Busta won 6-3 6-2 over David Goffin and 10th seed Cameron Norrie won 7-6 (7-5) 6-4 over Jack Draper.
World number one Djokovic, Coric, Grigor Dimitrov and Viktor Troicki all tested positive for coronavirus at the exhibition event as social-distancing guidelines were ignored.
Alexander Zverev, who also featured, came under fire after he was apparently spotted partying despite saying he would quarantine for two weeks.
The outspoken Kyrgios criticised those who played at the event and branded Zverev "selfish".
Coric responded, telling Croatia's Jutarnji List newspaper: "I read what he wrote, but I simply don't care because he likes to be a general after a battle.
"If someone else was teaching lessons I would have understood, but Kyrgios...it's somehow not realistic.
"I agree that was not good, Zverev acted badly but I don't see the need to criticise fellow players in such a way. I wouldn't do it, but again, it's Kyrgios."
Kyrgios slammed the comments and said Coric's "intellectual level" is zero.
"You should care. Do you have rocks in your head?" Kyrgios, who added a donut emoji at the end of his post, wrote on Twitter.
"Again, you can stand up for your mates, I'm just trying to hold them accountable. When I said what I said, I didn't intend to bother.
"They are tennis players, they aren't special. Just as I thought, Coric intellectual level = 0."
Kyrgios' unique style of play has repeatedly provoked spiky responses from Nadal throughout his career.
And with neither man in action amid the coronavirus pandemic, Kyrgios is keen to entertain fans by sharing an Instagram Live with Nadal.
Kyrgios responded to a BBC Sport post that suggested a series of potentially spicy calls - including a possible conversation between Lionel Messi and Cristiano Ronaldo.
"Rafa, let's do Instagram Live together," he commented. "I'm down with it."
Nadal was asked about the Australian in Melbourne at the opening grand slam of 2020.
"I don't know [if I like him]. I don't know him personally, honestly, to have a clear opinion," Nadal said.
"It's clear, of course, that when he does stuff that in my opinion is not good, I don't like."
The 19-time major champion more complimentary of Kyrgios later in the Australian Open after battling past his opponent, but their rivalry endures.
Kyrgios has never been beyond the third round at Roland Garros, last appearing at the event in 2017 – when he suffered a second-round defeat against Kevin Anderson.
Last year, the Australian labelled the French Open "the worst grand slam" and called for the competition to be "taken off the calendar altogether".
However, Kyrgios now says he will end his absence from the Paris event, though his reasons for doing so are not tennis related.
"My girlfriend wants to know Paris, so I'm going to play at Roland Garros 2023," Kyrgios told reporters in Saudi Arabia.
"It will be good for me to earn some more money, although I would have preferred to stay at home.
"I know I can do great results on clay. I beat Roger [Federer], [Stan] Wawrinka, I played a final in Estoril. My girl wants to get to know the city so I will have to go this year."
Kyrgios achieved two of his four best grand slam runs in 2022, losing the Wimbledon final to Novak Djokovic before exiting the US Open at the quarter-final stage against Karen Khachanov.
Last year's Wimbledon runner-up was left "devastated" when he had to withdraw from the Australian Open.
Kyrgios was ruled out of his home grand slam after an MRI scan on his knee revealed a cyst as a result of a small lateral meniscus tear.
The world number 21 on Monday revealed he had gone under the knife and is looking forward to starting out on the road to recovery.
He posted on Instagram: "Surgery complete. I'll be doing everything I can do get back to my best. To the real ones checking in and sending the vibes…. I love you."
Kyrgios won the seventh ATP Tour singles title of his career in Washington last August and claimed the Australian Open men's doubles title with Thanasi Kokkinakis in his homeland 12 months ago.
The 27-year-old was beaten by Novak Djokovic in his maiden major singles final at the All England Club last July.
Due to length rain delays on Thursday, Kyrgios was one of five players forced to abandon their matches and return to finish them first thing on Friday, with Kyrgios and Russia's Andrey Rublev the only two to successfully navigate both.
Tiafoe defeated Botic van de Zandschulp 4-6 6-2 6-3 in the morning, but Kyrgios' ability to keep his service games short was a decisive factor, winning the ace count 35-14 and not conceding a single break all match.
Rublev had to deal with Maxime Cressy in the morning, winning 6-4 7-6 (10-8), setting up a quarter-final later at night against J.J. Wolf after the American defeated Holger Rune 7-5 4-6 6-3.
Rublev made his second match look far easier, cruising through 6-2 6-3 to earn a semi-final against Japan's Yoshihito Nishioka after he needed over three-and-a-half hours to beat Daniel Evans 7-6 (7-5) 4-6 7-5.
In an all-unseeded semi-final, Kyrgios will play Sweden's Mikael Ymer, who fought his way past Sebastian Korda 6-2 5-7 6-3 after the American beat Bulgaria's Grigor Dimitrov 4-6 6-1 6-2 earlier in the day.
Meanwhile, down in Mexico at the Los Cabos Open, Daniil Medvedev earned his spot in the final by defeating Serbia's Miomir Kecmanovic 7-6 (7-0) 6-1.
Medvedev will play England's Cameron Norrie for the title after he prevailed in arguably the match of the tournament against top-10 talent Felix Auger-Aliassime 6-4 3-6 6-3.
Kyrgios' replacement in Adrian Mannarino eventually defeated Gojowczyk 6-3 7-6 (9-7), but the Wimbledon finalist's withdrawal due to injury overshadowed the match.
After receiving a wild card for the Cincinnati Masters, the 2016 champion in Atlanta was expected to make a deep run to kick off his hard-court season.
Coming out to apologise to the crowd before Gojowczyk and Mannarino took to the court, Kyrgios expressed his sadness at the withdrawal, in the hope he could still play in the doubles draw with fellow Australian Thanasi Kokkinakis.
"I'm extremely shattered that I'm not able to compete tonight," he said pre-match. "I've won this tournament once, and you know, I'm playing some of the best tennis of my career.
"All I wanted to do was come out here and give you guys a show, to see what I was capable of. I'm unable to give out my best performance today, and I'm just extremely sorry.
"I'm going to keep my hopes up and maybe be able to continue doubles with Thanasi this week. I hope you'll all not be too hard on me."
Kokkinakis just has the doubles to attend to now after Andres Martin's 6-3 6-2 win, while Ilya Ivashka progressed with a 6-0 3-6 6-3 win over Quentin Halys.
James Duckworth was the lone Australian to advance on Tuesday, beating Dominik Koepfer 6-1 6-7 (5-7) 6-3.
Jenson Brooksby made an encouraging Atlanta Open debut earlier in the day, eliminating Benoit Paire 6-3 6-1 to reach the second round.
Countryman and fifth seed Tommy Paul breezed past wild card Jack Sock 6-1 6-1, while Ben Shelton and Mackenzie McDonald also advanced.
The 2022 Wimbledon finalist, who has been struggling with an ankle injury, was due to line up alongside the likes of Alex De Minaur and Ajla Tomljanovic in the new team event.
However, Kyrgios surprised team-mates with his decision to pull out of the event, in which Australia face Great Britain in their opening match on Thursday, reportedly switching his focus to achieving full fitness for next month's Australian Open.
"I'm not going to speak for Nick’s summer, we've got to leave that for him," Stosur said at a press conference. "He was here. We literally just found out 10 minutes ago, so it's obviously news to all of us.
"But we just move forward now. We're all happy to be here and keen to get out there. Now that's out there, and we move forward with the placings of the team and do our best on the day.
"As far as the men's side of this team goes, we're in very capable hands still, so I'm not concerned that our chances have just diminished greatly or anything like that. We're out here to do everything we can possible to try and win this competition."
De Minaur added: "We've all just heard. Ultimately, we're just going to get ready. We’ve got a great team, and we're all going to be out there doing our best. So ultimately, the only thing that changes is match-ups and that's about it."
Fresh off his first singles title since 2019 when he won last week's Washington Open, Kyrgios collected his ninth consecutive victory in impressive fashion, showing no difficulty in navigating his first-ever matchup against his fellow countryman.
He won the first four games of the match, and snatched a break in the first game of the second set to book his quarter-final against Poland's Hubert Hurkacz.
Hurkacz, the eighth seed, had to come back from a set down to defeat Spain's Albert Ramos-Vinolas 6-7 (6-8) 6-2 7-6 (7-3). He struggled with his serve early, with four double faults in the opening frame, but cleaned it up as the match went on, double-faulting only once in the last two sets.
England's top hope Cameron Norrie suffered a disappointing 6-3 6-4 defeat at the hands of world number nine Felix Auger-Aliassime, but Daniel Evans and Jack Draper made it through to fly the flag.
Evans pulled off an upset win to beat 10th seed Taylor Fritz 7-6 (7-5) 1-6 7-5, and 20-year-old Draper was up a set when 17th seed Gael Monfils retired with an injury at 6-2 0-2.
American Tommy Paul claimed another scalp with his 6-4 6-2 victory against 13th seed Marin Cilic, giving him back-to-back wins against top-15 opponents after emerging triumphant against Carlos Alcaraz in the previous round.
In the final match of the day, Pablo Carreno-Busta beat his third top-30 opponent of the week with a 6-2 6-4 result against Italy's Jannik Sinner, following strong successes against Matteo Berrettini and Holger Rune.
The in-form Kyrgios is coming off his first ATP singles title since 2019 after winning the Washington Open this past week, where he also won the doubles partnered with Jack Sock.
Against Baez, he served all six of the match's aces to make it through unscathed, and he will now play the top-ranked Russian – who Kyrgios has beaten twice – although he dropped their third meeting at the Australian Open this year.
Dating back to the start of his Wimbledon run, where Kyrgios made his first grand slam final, the Australian has now won 13 of his past 14 matches, with the only loss coming in the Wimbledon final to Novak Djokovic.
Earlier on, 11th seed Matteo Berrettini was the first upset of the day as he went down 6-3 6-2 against Spain's Pablo Carreno-Busta, while fellow Spaniard Pedro Martinez had less success, getting bounced by France's Gael Monfils 7-6 (7-4) 3-6 6-2.
America's Tommy Paul delivered a gut-punch to his neighbours in the Great White North by eliminating Canada's own Vasek Pospisil 6-4 6-4, and his Canadian compatriot Alexis Galarneau also struggled in his 6-4 7-5 loss to Bulgaria's Grigor Dimitrov.
Marin Cilic showed why he is the 13th seed with a strong 6-3 6-2 win in his all-Croatian battle against Borna Coric, and American Maxim Cressy had similar success against Russia's Aslan Karatsev 6-4 6-4.
In a battle of the French it was Adrian Mannarino prevailing 6-3 6-3 against Arthur Rinderknech, and a pair of Englishmen made their way through unscathed as Daniel Evans won a back-and-forth contest against Filip Krajinovic 6-2 1-6 6-0, while Jack Draper returned to his rain-interrupted fixture against Hugo Gaston to finish the job 6-2 6-3.
Alex de Minaur ensured it would be a grim day for the Canadian fans as he eliminated Denis Shapovalov 7-5 7-6 (7-4), before Holger Rune fought off the challenge of Fabio Fognini to emerge a 6-3 7-5 winner.
In the late session, Roberto Bautista-Agut defeated Marcos Giron 7-6 (7-5) 6-3, ninth seed Cameron Norrie needed just over an hour for his straight sets 6-4 6-4 win over Brandon Nakashima, and Andy Murray had no answer for Taylor Fritz as he went down 6-1 6-3.
Yoshihito Nishioka's strong form held up after his runner-up finish at the Washington Open, cruising past Benoit Paire 6-2 6-3, while 25-year-old Botic van de Zanschulp continued his rise up the rankings with a 6-1 7-5 victory over Miomir Kecmanovic.
12th seed Diego Schwartzman needed three sets to navigate the challenge of Alejandro Davidovich Fokina 1-6 6-3 6-4, and Albert Ramos-Vinolas got the better of Belgium's David Goffin 7-6 (7-2) 6-2.
In the final match of the night, world number 10 Hubert Hurkacz responded to adversity in the second set to pull out a 6-3 6-7 (4-7) 6-2 win against Finland's Emil Ruusuvuori.
Before Tuesday's victory over Mackenzie McDonald, Kyrgios had not played on clay since his infamous meltdown against Casper Ruud at the Rome Masters in 2019, where he threw a chair across the court and walked off during a change of ends.
The 26-year-old Australian wild card's serve kept him in relative control, saving all six break points he faced in the 70-minute match, as well as serving 10 aces and winning 88 per cent of points on his first serve.
"I had to be locked in today and I knew that I had to serve well," Kyrgios said post-match. "It's probably one of the better matches I've played on clay in my career, so I'm pretty happy with the way I came out here today, just put my head down and went to work.
"I've been serving really well, so I just wanted to keep to good habits."
The world number 94 will now face Michael Mmoh, who defeated Sam Querrey 6-2 6-4.
Meanwhile, third seed Reilly Opelka did it relatively tougher in the other all-American clash on Wednesday, coming back from a set down to defeat Mitchell Kreuger 3-6 6-2 6-4.
Opelka came into the match having lost just 13 service games in 19 matches this season, but was broken twice in the opening set against Krueger. The world number 18 has been dealing with a right shoulder injury that forced him to retire at the Miami Open against Francisco Cerundolo.
The 24-year-old still managed 15 aces for the match, including a big serve out wide in the Ad court on match point.
"He played well, I think he came out swinging," Opelka said afterwards. "I think he was free, I wasn't. It's a different situation.
"It was a good opportunity for him to play free and get a win and I'm a guy who hasn't always been the most consistent, especially changing surfaces, so I think it was a good win."
He will face Gijs Brouwer, who progressed past J.J. Wolf with a 6-1 6-1 win.
The 27-year-old is competing at the Diriyah Tennis Cup exhibition event in Riyadh, with the three-day, 12-man event coming with a prize of $1million for the winner.
Davis Cup captain Lleyton Hewitt and Australia number one Alex de Minaur have both revealed they tried to persuade Kyrgios to compete in Malaga last month, with their attempts ultimately being in vain.
The Wimbledon finalist referenced the negativity he has endured in his career from his homeland as a reason for his snub, saying participation in the Davis Cup "doesn't really make sense".
Australia ended up finishing as runners-up to Canada.
"Maybe if Australia embraced me a little bit more, I would play it and bring home the trophy. But who knows? At this point of my career, I'll always do what's best for me," Kyrgios told AAP News.
"I can travel around the world playing exhibitions around this time of year for six figures - you know I feel I put myself in that position - so it's an easy one for me.
"I'll easily take time with my family and my girlfriend and enjoy experiences around the world and earn that type of money rather than play a week away in something where I wouldn't be able to be with my girlfriend and I'm not getting paid that well.
"[That] doesn't really make sense to me and my progression as an athlete."
Asked whether he could envisage himself playing in the Davis Cup again, he added: "Maybe, who knows?
"Adding another week in Europe in Malaga wasn't really what was on my wish list. If it was in Australia, maybe it would have been a different story. But who knows?
"It's not always easy for me to erase everything in Australia that's said negatively about me or my family, you don't need that - so it's interesting that they really want me to play, but are always criticising.
"Look, I've always been one of the best players in the world - I’ve always held up my fair share of the bargain towards Australia.
"I feel like this is the first year I've earned respect when it should have been given when I first came on tour.
"I've represented them, put them on the map, and having produced one of the most successful male years in the last decade for Australia, and am only just getting embraced [now] - I don't think that's my fault."
Kyrgios was charged in July of this year in relation to the alleged assault of a former partner in January 2021.
The 27-year-old, who has enjoyed a fine season in 2022, reaching the final of Wimbledon and the last eight at the US Open, was not present for a hearing in Canberra on Tuesday, as he features in the Japan Open.
Michael Kukulies-Smith, who is representing Kyrgios, asked for the case to be adjourned so forensic mental health reports could be prepared.
The case was duly adjourned to February 3, 2023 by magistrate Glenn Theakston. It is then expected Kyrgios' legal representatives will apply to have the case dismissed, with Kukulies-Smith stating he was making the application having reviewed Kyrgios' "medical history since 2015, including public disclosures of his mental health struggles".
Australian law dictates that magistrates have the power to dismiss a charge if they believe an accused person is mentally impaired, and that dealing with a charge in such a manner would be of benefit to both the defendant and the community.
Kyrgios could face two years in prison should he be handed a maximum sentence.
Europe swept Saturday's four matches in Boston to stand on the cusp of a fourth consecutive Laver Cup triumph – the defending champions lead 11-1 and require just two more points to clinch the title.
Stefanos Tsitsipas blitzed Team World's Kyrgios 6-3 6-4 at TD Garden, where Olympic Games gold medallist Alexander Zverev beat John Isner 7-6 (7-5) 6-7 (6-8) 10-5 before US Open champion Daniil Medvedev made light work of Denis Shapovalov 6-4 6-0.
Team Europe secured their fourth win of the day in the doubles – Tsitsipas and Andrey Rublev teaming up to defeat Isner and Kyrgios 6-7 (8-10) 6-3 10-4.
After Kyrgios' straight-sets loss to Greece's Tsitsipas, the 26-year-old Australian star casted doubt over his tennis future.
"This is my probably my last Laver Cup," former world number 13 Kyrgios – an Australian Open and Wimbledon quarter-finalist – told reporters post-match. "I don't know how much longer I will be in tennis.
"This is my last event of the year. I will get my body right ahead of the Australian Open.
"My mum is not doing too well with her health. I'd like to go back and see her."
"As long as I'm on the court, I will try and give my best, but I'm not going to lie and say that I'm going to plan to play four or five more years on tour," Kyrgios said. "That's just not me."
Playing for the first time since earning his maiden grand slam trophy at the expense of record-chasing Novak Djokovic at Flushing Meadows, world number two Medvedev suffered no letdown against Shapovalov.
"I played unbelievably, especially [in] the second set," Russia's Medvedev said in his on-court interview. "I didn't know what to expect because after the US Open, I didn't play for a week and a half. Came here, practised as much as I could the past three days, so I didn't hit [that] many balls, but was surprisingly feeling well.
"I wanted to show that also today. [The] first [set] was not easy, the ball was not going as fast as I wanted [and] he was playing really good. And then I just couldn't miss a ball anymore. I'm really happy about [that]."
Wimbledon runner-up Kyrgios repeatedly lost his cool during his run at the All England Club, aiming cruel jibes at on-court officials, swearing during matches, being hostile to his own support team, and even spitting towards a spectator on one occasion.
It made it all the more remarkable that the Australian navigated a path through to the title match, albeit benefiting from a walkover in the semi-finals when Rafael Nadal pulled out with an abdominal injury.
McEnroe was no stranger to a vitriolic outburst during his playing career, earning the nickname of 'Superbrat'.
The 63-year-old is well positioned to assess the volatile Kyrgios, whose talent has never been in question but often rubs up awkwardly against his application and attitude.
Speaking on BBC Radio Five Live, McEnroe said: "I get a lot of what's going on here more than most people.
"He's a good kid, the players like him, he's well liked in the locker room, he does a lot of charity work.
"But he's got demons you know, in a way – we all have this fear of failure, and it's a question of how you best deal with it."
McEnroe said Kyrgios "moves the needle for us in tennis", suggesting the 27-year-old has skills that can move the sport in an exciting direction.
"We need this big time, but we don't need him to try half the time," McEnroe said.
The likes of Novak Djokovic, who got the better of Kyrgios in Sunday's Wimbledon final, along with Nadal, are in their mid-30s and cannot keep going forever. Roger Federer, now without an ATP ranking after a year of inactivity, is widely assumed to be close to retiring.
It remains to be seen whether Kyrgios, who has been summonsed to face a common assault charge in Australia, invests more into his tennis career in future. He appears to have an on-off love affair with the sport, being reluctant to let it dominate his life.
Of the world's top 100, only Djokovic and Nadal have played fewer ATP tournaments than Kyrgios' 12 events in the past year. Djokovic (11 tournaments) has missed some events due to his refusal to accept a COVID-19 vaccination, while injuries have limited Nadal's involvement to nine events.
McEnroe said Kyrgios "is a genius out there" on the court.
"He needs Sigmund Freud to come out of the grave and somehow figure out a way to keep this guy going for a couple of years because we could use him," said the American.
Kyrgios would likely not submit to such psychoanalysis, having been rattled by the coverage of his tantrums rivalling that of his tennis during the Wimbledon fortnight.
McEnroe added, speaking to BBC Sport: "You know he's sitting there and he's obviously tortured in certain ways. [He's] unbelievably talented, very smart."
The world number one, who reached the final at 's-Hertogenbosch last week only to suffer a shock defeat to Tim van Rijthoven, had not beaten Bautista Agut in three previous matches.
But his duck against the Spaniard is over following a 6-2 6-4 win, which set up a semi-final meeting with Oscar Otte after the German saw off Karen Khachanov in three sets.
"I remember all the matches we had… He was playing some [great] tennis and it was tough for me to win," Medvedev said of his previous meetings with Bautista Agut.
"Today I had my plan, managed to keep it going. Definitely got more edge on the most important points, because he had more break points than me. It was not easy, and I'm happy to win."
Hubert Hurkacz, a Wimbledon semi-finalist last year, is also into the last four after edging Felix Auger-Aliassime in two tie-breaks and will face Nick Kyrgios, who beat Paulo Carreno Busta in straight sets.
Elsewhere, Matteo Berrettini was victorious at the Stuttgart Open and is on course to go back-to-back at the Queen's Club Championships after seeing off Tommy Paul 6-4 6-2 to progress to the semi-finals.
Botic van de Zandschlup is his next opponent, the Dutchman overcoming Alejandro Davidovich Fokina 6-2 6-4.
Meanwhile, Filip Krajinovic had to come from a set down to end Briton Ryan Peniston's run at the quarter-final stage, with his reward a meeting with former US Open champion Marin Cilic, a straight-sets victor over Emil Ruusuvori.
The world number one gave Berankis no avenues into the match, winning 48 per cent (27-of-56) of his total return points, while also converting 88 per cent (21-of-24) of his own successful first serves into points.
Medvedev will meet Serbia's Miomir Kecmanovic in the semi-final after he pulled off an impressive 6-2 6-4 victory against American Brandon Nakashima.
Kecmanovic's ability to serve his way out of trouble was the deciding factor, saving four of five break-point opportunities, while Nakashima could only save six out of 10.
Canada's Felix Auger-Aliassime booked his spot in the second semi-final after defeating America's Steve Johnson 6-4 7-6 (7-3).
The 22-year-old winner – who now sits ninth in the world rankings – served up 17 aces in the contest, while Johnson, who is usually known for his serve, could only muster four.
Cameron Norrie was a straights-sets winner over Radu Albot, although he needed a second-set tie-break to get the job done in a 6-3 7-6 (7-4) triumph.
Meanwhile, Norrie's British compatriot Daniel Evans won a war of attrition against American Taylor Fritz at the Washington Open, pulling ahead 3-6 7-6 (8-6) 4-1 before the heavy favourite retired due to the oppressive conditions.
With rising temperatures, combined with spots of rain, the humidity threatened to claim a number of scalps as multiple players in Thursday's action took extended medical timeouts, before a serious downpour halted the rest of play.
The only other matches to reach their conclusion were Yoshihito Nishioka's 7-6 (7-2) 7-6 (7-1) win against Karen Khachanov, and a 6-3 6-7 (3-7) 6-4 triumph for Sweden's Mikael Ymer against Finland's Emil Ruusuvuori.
When play resumes, Nick Kyrgios will look to finish off Reilly Opelka after reaching the rain with a 7-6 (7-1) 2-1 lead, and Grigor Dimitrov won his first set 6-4 against Sebastian Korda.
Botic van de Zandschulp was the beneficiary of the break against Frances Tiafoe, winning the first set 6-4 before slowing down in a big way to drop the second 6-2, but he will get a chance to recharge his batteries before the decider.
