I saw KY play in 2010 @ Baton Rouge. I was sitting near Pat Patterson's parents, and listened to them grip about Bledsoe all game. Not Cousins, and not Wall, but Bledsoe. They thought he was a ballhog.
LSU sent in a bruiser to try and pick a fight with Cousins (this was typical of UK opponents that season), and Cousins, as he usually did, maintained his composure and stayed in the game. Even during the minor fracases that took place, I never once hear them utter a single negative phrase about Cousins or his mentality.
Cousins needs to be in the right situation. Dennis Rodman won 2 titles in Detroit, and was relatively little known when they won the first one in 1989. Then, he became a freak show in San Antonio, and used that to wiggle his way to Chicago where he won 3 more titles.
Cousins have phenomenal talent. He needs to be in the right situation. That situation could be with the Lakers.