Teddy did rag on him quite a bit for not being a 'fighter' in his eyes. Maybe that biased me, but I don't think he has the ferocious competitive spirit that Ward has. When Ward fights he wants to win and he's gonna figure out how to do that no matter what. Part of the skills that he uses to win no doubt come from training with Virgil, but part (and you can tell) are instinctive and come from the 'fighter' he has in him. He had that 'bad intentions' look in his eyes many times during his fight with Dawson, whereas Dawson looked out of his comfort zone.
It's been a while since I've seen Andrade fight, but I was left with the impression that he has the skills but not the heart, similar to Dirrell. Dirrell is another guy that has a bountiful skill set but when you look into his eyes during the fight he doesn't have the 'fighter' in him. To me Andrade is the same way.