I don't believe this at all.

Cotto made it very clear that he would not like to have ANYONE but Evangelista in his corner.

Sometimes it's good when you change trainers because certain trainers can only take you so far then it's time for you to learn other things. In this case I think Evangelista has truely formed and shaped Cotto to who he is today.

Cotto always states my job is to train, fight and win the fights. My corners work is to watch tapes, and instruct/train me. I leave the training techniques to them they know what will work and what will prepare me for the fight.