If a user wants to be more anonymous on the dance floor, they can choose "none" under Forum Options - Forum Titles. It isn't like your username which you always carry with you whether you want to or not.

Right now I have some dancing-related titles and some titles that would work well with whatever the dancing-costume I'm wearing. I think it would be fun if I could use them on the dance floor.

Some forum titles would look awfully weird without usernames though. Unless the username was replaced with a dummy username like Mysterious Stranger. Then maybe that would work?