But those with the task of beating the Huskies know differently.
"Shabazz is a great player, and gets a lot of attention and rightfully so," Florida coach Billy Donovan said. "But it's not a one-man team. It's not a team where you look at them and say, if you do the job on one guy, you're going to be in good shape. He's a terrific player, but he doesn't do it only by scoring."
UConn's victories throughout the season, and in the NCAA Tournament, have often been highlighted by Napier. He hit the game-winning shot to beat Florida on Dec. 2, had a monster second half against Villanova in the third round of the tournament, and consistently makes late, clutch free throws.
But the Huskies, who play Florida in the NCAA semifinals Saturday at 6:09 p.m. at AT&T Stadium, do not thrive on Napier alone. DeAndre Daniels, averaging 17 points and 6.8 rebounds, and Ryan Boatright (14.2 points) are playing some of the best basketball of their careers in this tournament. Big men Phil Nolan and Amida Brimah sealed off the paint against the physical Michigan State team. Niels Giffey has been one of the top three-point shooters all season.
"We're a more complete team than people give us credit for," coach Kevin Ollie said. "People don't talk about our frontcourt, but they're tough. They showed that against Michigan State."
Florida (36-2), the top-ranked team in the country and the No. 1 overall seed in the tournament, has won 30 in a row since the game at Gampel Pavilion on Dec. 2. For the Huskies (30-8) to get by the Gators again and advance to the national championship game against Kentucky or Wisconsin, they will need to be multidimensional, perhaps more than ever before.
"It's a different game," Ollie said. "That was four months ago. We're a different team, I'm a different coach. Billy's definitely got a better understanding of his team and what it takes for his team to win."
Florida has outrebounded opponents by nearly five a game during the NCAA Tournament, shot 45.5 percent and held opponents to 39.7 percent. As a No. 1 seed, the Gators have had a relative breeze, beating Albany, Pittsburgh, UCLA and Dayton by an average margin of 12.25 points.
The Huskies, the first No. 7 seed to make the Final Four since 1984, have had to grind out their wins. They are, in fact, the first team since Florida in 2000 to survive an overtime win in the round of 64 and reach the Final Four.
UConn will need to stack up against Patric Young, a 6-foot-9, 240-pound forward who bruised them last time with 17 points and seven rebounds. They will need solid defense from guards Napier and Boatright, because Florida's guards, especially Scottie Wilbekin, are so fast and talented.
"We understand that we will have to be mentally there on the defensive end," Napier said. "We will have to be more in depth with our understanding of who we are guarding."
And they will need crisp, consistent ball movement to beat the Gators' zone defense.
"They have some long, athletic guys that can disrupt a lot of shots and disrupt passes," Napier said. "It's going to be tough."
The Gators were short-handed on Dec. 2, basically playing six guys. Kasey Hill, who missed that game, and Chris Walker, who was not eligible, are both in Florida's rotation now. Wilbekin, who was hurt and left that game, is healthy and was SEC player of the year and tournament MVP.
But the Huskies have changed, too. Freshman Terrence Samuel has found a niche as a defensive energizer off the bench. Brimah, 7-0, whose critical three-point play against St. Joseph's on March 20 kept UConn alive, is a much bigger factor for UConn now.
"We're going up against a hot team right now, offensively and defensively," Young said. "It's going to take a lot of team focus."
But so often, when the stakes are high and the bright lights come on, it comes down to the best player on the floor. All eyes will be on Napier, the way they were all on Kemba Walker in 2011.
"He's his own man," Ollie said. "He wants the ball in, I call them, 'the gaps.' The game-altering plays, he makes those."