I hate it as well. I don't think we can consider it as support for bullfights, but I do think it's there because of some cultural influence including bullfights. Who knows if that even comes into his mind.
Yes. I do not think at all that he's bothered by them, there's good reason to be sure of that, sadly. Now, that doesn't mean he supports them. He could be indifferent, not have given it any thought, consider them just a "Spanish thing". I find it hard to believe he would actually support them... I won't think he does without actual proof. He's young, he could well come around.
I would like to see a journalist ask him about it though. I'd like to see his reaction and see what he'd say. I saw a part of his CNN interview the other day, and I was surprised by how much he said about the issue (very conflictive as well) of Cataluña's independence. I had expected he would just side step around the issue and not really say anything.