Do presentations given during interviews count as invited talks?
I disagree with Dave.  An invited talk is, by definition, a talk that you've been invited to give.  Yes, interviews count.  (More-or-less inviting yourself is not necessarily different than a non-interview invited talk.)

I agree that you shouldn't reveal which of your invited talks are actually interviews, but that's only an issue if all your invited talks happen in the last semester before you submit your thesis.  (And maybe you should wait until after interview season is over to add them.  The people who are interviewing you are desperately curious about where else you're interviewing.)