There's some truth to that, but Kentucky only really went on their run after WCS got hurt. Before that they had been mediocre all year, and I'm not sure they get to the finals without his injury. Not a slight on WCS - just that the extra inspiration (they always thought maybe he'd be able to return the next game if they could win one more for him), plus maybe players buckling down and not relying on him to cover for everyone defensively, etc. was part of what fueled their run. No way to ever know of course.
If I'm remembering correctly, he got hurt during the Louisville game (what stage of the game I do not know), so although you're correct that they beat Michigan and Wisconsin without him, the wheels were sort of in motion beforehand with a win over undefeated Wichita State.
Also, I think the match-ups were more favorable against Michigan and Wisconsin, which allowed them to survive. Wisconsin, especially, ran a motion-based offense that relied less on ball-handlers making plays in space and more on misdirection and flex action. Michigan fans are still having nightmares of Marcus Lee jumping over their frontline for put back dunks. It's possible that you're right, though, and that we draw a different opponent Monday night if the pins fall differently. One thing I'll say in UConn's defense - not that they need any - is that Boat and Daniels going to the bench with foul trouble probably played a bigger role in the game than the presence of WCS would have. I'm biased, but I think UConn was better.