World number one Djokovic was broken five times by the Briton in their last-16 clash and suffered his first loss of the year, having won the Australian Open for the ninth time in February.
In sum, no 20-something appears poised to wrest the mantle from the 30-somethings who have dominated the sport for so long.
Miami Open: Tournament offers a glimpse of what tennis could look like without Big 3, Serena Williams
Miami Open offered a glimpse into what tennis could look like when Roger Federer, Rafael Nadal, Novak Djokovic and Serena Williams retire and it was still scintillating.
The 24-year-old Hurkacz won the biggest title of his career by beating 19-year-old Jannik Sinner of Italy 7-6 (4), 6-4 on Sunday.
Sinner, who reached last year's French Open quarter-finals, defeated Bautista 5-7, 6-4, 6-4 to become only the fourth teen to reach the men's final in the 36-year history of the ATP Miami Masters.
Barty, who is assured of retaining her No 1 ranking next week, will play for the title Saturday against the winner of the second semi-final between No 8 Bianca Andreescu and No 23 Maria Sakkari.
Miami Open: Naomi Osaka, Ashleigh Barty, Bianca Andreescu in quarter-finals; Stefanos Tsitsipas into last-16
The world's top-ranked player Ashleigh Barty has reached the Miami Open quarter-finals, getting there by holding off 14th-seeded Victoria Azarenka of Belarus 6-1, 1-6, 6-2
Making his tournament debut this week, the 19-year-old Sinner fired 16 aces during the two-hour 24-minute battle to set up a last-eight encounter with Lorenzo Sonego or Aslan Karatsev.
Shapovalov, who enjoyed a winning debut in Dubai thanks to a 6-1, 6-3 second-round success over German big-server Jan-Lennard Struff on Tuesday, says being confined to a hotel room at every tournament due to the Covid-19 restrictions in place can take a mental toll on the players.
Stefanos Tsitsipas edges past Hubert Hurkacz to set up quarter-final clash against Karen Khachanov in Rotterdam
The Greek second seed dropped the second set but won in a tight decider on his third match point, securing a 6-4, 4-6, 7-5 victory.
Hurkacz's only other title was in 2019 at Winston-Salem, where he became the second Polish tour-level champion in the Open era.
Delray Beach Open: Hubert Hurkacz ends Christian Harrison's fairytale run to set up final against Sebastian Korda
Sebastian Korda, the 20-year-old son of former Australian Open champion Petr Korda, will be seeking a first tour title.
ATP Cup 2020: Former US Open champion Marin Cilic powers Croatia to victory over Poland; Japan ease past Georgia
Cilic, who has a career-high ranking of No 3 but slipped to 38 after an injury-shortened 2019 season, has now won both his singles matches for Croatia in Sydney at the new international men's team event
Monfils said he was motivated because he didn't want to let down Gilles Simon, who is nominated as a player-captain for France.
Paris Masters: Roger Federer withdraws from tournament to 'pace' himself for next year; Marin Cilic, Jo-Wilfried Tsonga reach second round
Roger Federer withdrew from the Paris Masters on Monday in order to "pace" himself for the next year, while Marin Cilic and Jo-Wilfried Tsonga reached the second round
Shanghai Masters 2019: Novak Djokovic says pressure of living up to sky-high expectations part of 'what we do'
Djokovic said that he had no pain from the shoulder injury that forced him out of the US Open last 16 and is 'confident that I can perform at my best'
Shanghai Masters 2019: Stefanos Tsitsipas credits social media detox for first-ever win over Felix Auger-Aliassime
The 21-year-old Tsitsipas was speaking after defeating another promising talent, the 19-year-old Felix Auger-Aliassime, to reach the last 16 of the Shanghai Masters
Winston-Salem Open: Hubert Hurkacz beats top seed Benoit Paire in three sets to clinch first ATP title
Hubert Hurkacz outdueled top seed Benoit Paire to earn his first ATP title with a 6-3, 3-6, 6-3 win in the Winston-Salem Open final.
Winston-Salem Open: Lee Duck-hee becomes first deaf player to win an ATP main draw match after beating Henri Laaksonen
Lee Duck-hee became the first deaf player to win an ATP main draw match, waiting out a rain delay to beat Henri Laaksonen in Winston-Salem.
Rogers Cup: Rafael Nadal overtakes Roger Federer to become player with most Masters win; Dominic Thiem advances to last-eight
Rafael Nadal stepped closer to a record 35th Masters 1000 title, dispatching Guido Pella to power into the Montreal Masters quarter-finals.