There is a point where it stopps being called quitting and it starts being called knowing you are not going to win. Cotto just realized there was no way he was going to win after that first KD. What would be the point of continuing.

If you want to call it quitting than go ahead but you might as well call the visiting team in a baseball game as quiters for not taking the field in the 2nd half of the last inning in a game they are loosing. It just makes no sense.