Uh, define what you mean by 'avatar'?
I have so many, and while some have obvious personalities, some do not.
Also, some are so obviously an extension of myself that it's like asking what would happen if I had a clone of myself in a different physical body living with me...
Which, wouldn't go very well if I'm honest, since I don't really do that great living with other people...
Edit: Oh, never mind. I just got what you're referring to. In which case... Well, still; See above, only add magic and a set of giant cyborg cats...