And what about the actual name Twitter and "tweets"... Is he changing all that too or does he not realize that's bird-related?

Seriously. I worked at a law firm one time that thas been around for like thirty years. Some of the younger partners bought out the older ones that were retiring and then wanted to change the name. Something like 75% of people who found the firm's website did so by searching the name. I went bullshit. The name changed and new business dropped off.