I think that most of the things we hear are made up by the media or by the fans themselves.
I do think though that she just cannot get along with everybody out there, which at the same time doesn't mean she's gonna be looking for a fight. She just flows around other artists, and also being a good Japanese cultural manner, to keep very respectful towards other people.
ayu is VERY respectful and professional, and I'm sure she prefers when others keep it that way towards herself too.
I wouldn't be surprised if she got angry that time when one of these TV dudes hit her on the head, I mean come on, we get that you are a "male" and she's a "female", but she's the empress of pop, don't mess with her!