Milwaukee's Giannis Antetokounmpo and Houston's James Harden were this season's leading NBA MVP candidates.
In their latest playoff games, the superstars had relatively lackluster performances and their teammates were more than capable of picking up the slack to put Detroit and Utah on the brink of elimination.
The Bucks can finish off a sweep of the Pistons in Game 4 on Monday night and the Rockets will get their chance to advance later the same evening against the Jazz.
Antetokounmpo scored just 14, his fewest in the playoffs in nearly two years, and it didn't matter because six of his teammates also scored in double figures as top-seeded Milwaukee beat Detroit 119-103 on Saturday to take a 3-0 lead in their first-round series.
Harden missed his first 15 shots before closing strong enough to score 22 points as one of six Rockets in double figures in a 104-101 victory over the Jazz that gave them a 3-0 lead in the opening series.
"That's what they've been doing all year long," Harden said. "And, that's why we're in the position we're in."
The Bucks were in a position to give their players the option of taking Sunday off, allowing them a chance to get off their feet. They earned the right to relax after beating the Pistons three times by an average of 24 points.
Antetokounmpo likely took full advantage of the opportunity to rest and treat his bumps and bruises.
"Playing late in the season like this, your body is going to hurt," he said. "At the end of the day, you've just got to fight through the pain and get yourself ready because we've got more games to go."
The Pistons won't after Monday, unless they pull off an upset in Game 4.
"The key is pride, coming in with effort, energy and not already having your cars packed up and ready to go," Detroit coach Dwane Casey said.
Likewise, the Jazz are hoping to make a Game 5 necessary by extending the series with a win Monday night.
"It's an uphill battle, but we're not just going to lay over and give them a game," Utah star Donovan Mitchell said. "That's not who we are. That's not who any of us are. We're not afraid."
No team has overcome a 3-0 deficit to win an NBA postseason series.
The Bucks have not won a first-round playoff series since 2001.