I totally agree with what you said about the NBA being broken due to the impact a single player can have on a team. I think giving the teams with a better record a better chance at the top picks, but to randomly give it to the 9th, 10th, and 11th, teams seems odd. I assume you meant 12th, 13th, 14th?

Either way, that's why I think evening the odds across the board would be the best option. Teams would compete hard for those wins.