England sealed a series victory over the Windies in last week's second Test at Trent Bridge, scoring over 400 in both innings of a Test match for the first time as they made totals of 416 and 425.
Vice-captain Pope managed a superb first-innings knock of 121 before Joe Root (122) and Harry Brook (109) brought up their centuries in the second innings.
England have become renowned for their all-out batting style – dubbed 'Bazball' – under head coach Brendon McCullum and captain Ben Stokes.
Pope believes that approach suits England's batters and feels they could make history by breaking the record for most runs made by a team in a single day of Test cricket – Sri Lanka's 509-9 versus Bangladesh in July 2002.
"I got asked on day one, 'do you get told to play like that?' No, we don't. It's just our natural game and the way we go about it," Pope said.
"Sometimes we might score 280 to 300 in a day, but that's okay and probably because we're reading situations.
"There might also be a day where we go and get 500 to 600 at some point in the future as well, and that's a cool thing to have."
England came within three runs of that record Sri Lanka total on their 2022 tour of Pakistan, and Pope believes their success is down to the ruthlessness of the batting order.
"There's a real hunger – there always is a hunger – but now there's an extra bit in that batting line-up," Pope added.
"We want to be as ruthless as we can as a batting unit, but still play the way we do because that's our natural game.
"Obviously being ruthless is being part of Test cricket as well."
Quinton de Kock starred for the Proteas, but it was Anrich Nortje who ensured England could not win thanks to his bowling in the final over.
South Africa got off to the perfect start, registering their second-most productive powerplay in the tournament so far, without losing a wicket.
De Kock hit his half-century off 22 balls, eventually finishing with 65. However, they soon slipped away as England rallied.
Despite an early over costing him 21 runs, Archer finished strongly on 3-40, helped by some superb catching from Jos Buttler as England eventually limited them to 163-6.
However, England could not keep that momentum going when they stepped up to bat, getting just 41 runs in their own powerplay – their lowest tally this year.
It was not until the introduction of Harry Brook (53) and Liam Livingstone (33) that they found their groove, but when the former got caught in the in the final over, Sam Curran and Jofra Archer could not get the 14 runs they needed from the final five balls, finishing just short on 156-6.
Data Debrief: Records aplenty for De Kock
De Kock has scored back-to-back fifties at the T20 World Cup, but his tally today equalled the fastest half-century of the tournament (USA's Aaron Jones also got 50 off 22 balls).
His 49 runs in the powerplay is the most by a South Africa batter at a men's T20 World Cup, beating his own previous record of 46 against England in 2016.
Broad got England’s ‘fortress’ rocking in the evening session as he had Marnus Labuschagne and Steve Smith – numbers one and two in the Test batting rankings – caught behind during an electric spell.
With adrenaline coursing through his veins Broad would have loved nothing more than a crack at the man who occupies third place on that list, but Australia opted to shield Travis Head from the late pressure and sent out Scott Boland as nightwatchman.
Australia ended a gripping fourth day on 107 for three chasing 281, with all results on the table heading into what is set up to be a classic finale.
The tourists had made an assured start to the chase, with Usman Khawaja and David Warner putting on 61 for the first wicket before Ollie Robinson got one to clip the latter’s outside edge to get his side up and running.
England had earlier been bowled out for 273, an erratic but entertaining innings punctuated with dashing strokeplay but haunted by a feeling of impermanence.
There was not a single half-century on the card, with Joe Root and Harry Brook both reaching 46 and Ben Stokes contributing 43.
Had any of the three lasted the course, the game might have slipped away from Australia entirely, but Root was stumped for the first time in his 131 Test career as he charged Nathan Lyon and Brook tried too hard to generate a boundary that was not on offer.
Stokes, whose attacking principles run through the DNA of his side, played a notably responsible knock but was stopped in his tracks by his excellent opposite number Pat Cummins.
Captain Kraigg Brathwaite leads the charge on the batting ranking, as he moved up two slots to 40th position, following scores of 48 and 47 in the second Test, which West Indies lost by 241 runs. They lost the first Test by an innings and 114 runs and will try to avoid a whitewash in the final Test in Edgbaston starting on Friday.
Wicketkeeper/batsman Joshua de Silva was rewarded for his first innings score of 82 in that match, as he jumped seven places to 61st, while Jason Holder’s 27 and 37 saw him inched up two places to 70th. Kavem Hodge’s 120, which was his maiden Test century, pushed him into the top 80.
The Dominican batsman moved 21 places up to 75th, one spot behind Kyle Mayers, who, despite being out of action, remains in 74th. Alick Athanaze held firm in 77th, while discarded Jermaine Blackwood (50th), Tagenarine Chanderpaul (83rd), Roston Chase (86th), and Kirk McKenzie (100) are the other Caribbean batsmen in the top 100.
On the bowling chart, new-ball bowlers Alzarri Joseph and Jayden Seales made the only notable improvements to their rankings. Joseph moved up two places to 33rd after finishing with five wickets in the match, and Seales moved up 10 places from 44th to 34th with six wickets.
Meanwhile, England batter Harry Brook has achieved a career-best third position after notching a century in the second Test.
Brook, who scored 36 and 109 in Nottingham, advanced four places, while his teammates Ben Duckett and Ollie Pope have also made significant gains in the latest weekly update to the men’s rankings, which are carried out on Wednesdays across formats.
Left-handed opener Duckett has progressed six places to 16th position after notching scores of 71 and 76, while Player of the Match Pope has advanced from 29th to 21st with scores of 121 and 51.
Chris Woakes is back into the top 20 of the bowling rankings for the first time since September 2021, after he finished with four for 84 and two for 28 in the match, while spinner Shoaib Bashir has advanced 18 slots to 53rd position after he took his third five-wicket haul in just his fifth Test.
In the ICC World Test Championship standings, England are placed in sixth place, while West Indies are ninth, as per the percentage points that determine qualification.
Brook has not played since December, having withdrawn from the Test tour of India and his planned stint at the Indian Premier League following the death of his grandmother Pauline.
Yorkshire had already indicated that the 25-year-old was likely to return early in the Vitality County Championship campaign and, following discussions with the England and Wales Cricket Board, have now confirmed his schedule.
Brook is ready to feature for the White Rose throughout April and the beginning of May, starting at home to Leicestershire on April 5 and taking in fixtures against Gloucestershire, Middlesex, Derbyshire and Glamorgan.
Thereafter, he is due to link up with England for their T20 series against Pakistan and June’s T20 World Cup.
After failing to win promotion from Division Two last year, Yorkshire’s chances of making serious waves in the second tier this year are further enhanced by the presence of former Test captain Root.
Having played a full part in the two-month Test tour of India he will miss the curtain-raiser at Headingley but then links up with the side for their next four fixtures, as well as the visit to Northamptonshire on May 24.
Head coach Ottis Gibson, who needs to see some improved results following Darren Gough’s departure as director of cricket, had earlier trailed the pair’s availability, suggesting: “Having those two playing for us would be special.”