If they're talented enough to play at the D1 level, more importantly if they're talented enough to play at UK, yes.
Also, it's not so much the Mr. Basketball winner, as it is in state talent in general. Sometimes, probably most times, the kid with the most talent or more specifically best potential doesn't win the trophy.
Awards like that can be stats and/or career achievements award more so than best player. Forget awards winners, "talent" or what is perceived as such, in general can be misleading. A little bit of ability and hitting your growth spurt before everyone else goes a long way in rural high schools and their districts. Then there's the local sports politics, and overbearing parents that often determine who's getting opportunities and getting touches.
Cal ran the very niche type of program for very specific types of players. It was really limiting in many ways. It closed off doors to anyone who didn't play a certain style. It also didn't allow for development over time.
People got all geeked up about the caliber of recruit Cal was looking for and hauling in. Yes, in terms of star rankings and NBA potential, it was great. In the long run it limited the recruiting base of who could be brought it and was ultimately a detriment.
In state talent, or just good solid players from anywhere, we couldn't bring in and develop overtime due to the nature of what Cal had set up. NBA style ball, quick turnover, every year brining in 4-5 raw young guys who have to play and play a certain way didn't lend itself to 4-year college basketball player and team development.