Hayward could get around Kyle at will, then one of two things would happen:
Boozer would rotate and meet him at the basket and either block his shot or go enforcer-style and put him on the floor.
OR...
Hayward would score repeatedly. Boozer would point at Al Jefferson (even if he was standing 40 feet from the basket) and say "I had my guy."
I dont think you give Boozer enough credit. I think he would also yell at Hayward--like ahhhhhhhhhhh!!! and hope the sound vibrations would make him cough up the ball.