The "profile data" that refers to is the profile data you want to add per-site. It's got nothing to do with Persona.
All Persona knows is your email, a password and the fact that you (maybe) want to authenticate at some point (but it doesn't know where, and it can't be sure you're actually trying to authenticate somewhere even).
All Persona knows is your email, a password and the fact that you (maybe) want to authenticate at some point (but it doesn't know where, and it can't be sure you're actually trying to authenticate somewhere even).