I have visited a couple forums where moderators have two names, so they can keep their chatting identity separate from their mod identity. It can be handy if they need to 'edit' a friend whom they chat with on other things.

I also have seen a couple of forums where moderation is not only totally anonymous, but strict and heavy-handed.(Religious and political forums almost MUST be edited, or the petty bickering almost overwhelms the discussion) It depends on so many things. Max said awhile back that possible changes are being studied.....