Shapovalov was clearly frustrated with some calls that the Hawk-Eye Live technology -- the system that replaces live lines judges with cameras -- saw one way and he saw another way.
"We're getting used to that, that Hawk-Eye life," Hurkacz said. "It's a little bit different."
In other third-round men's matchups, Sebastian Korda of the U.S. got his second consecutive win over a seeded foe, this one a 6-3, 6-0 romp past No. 17 Aslan Karatsev of Russia. Korda's reward is a matchup with No. 5 seed Diego Schwartzman of Argentina in the round of 16.
Korda is one of four U.S. men in the round of 16 at Miami. His father, Petr Korda, played in the event 10 times at its former Key Biscayne home and made the round of 16 on four occasions.
"It's cool and it's been super-special for sure," the younger Korda said of having Miami success.
Earlier Monday, Schwartzman defeated 25th-seeded Adrian Mannarino of France 6-1, 6-4; 12th-seeded Milos Raonic of Canada topped 20th-seeded Ugo Humbert of France 6-4, 7-5; and 2014 US Open champion Marin Cilic of Croatia defeated Italy's Lorenzo Musetti 6-3, 6-4.
Cilic will meet fourth-seeded Andrey Rublev of Russia next. Rublev rolled past Hungary's Marton Fucsovics 6-2, 6-1 -- beating him head-to-head for the third time in the past 22 days, and that doesn't even include a walkover victory over Fucsovics in Qatar in that span.
"Marton [told] me, 'I don't want to see you. I don't want to see you,'" Rublev said.
Information from The Associated Press was used in this report.