Well, I dunno about any Astroists, but I'd say what makes a realm a theocracy is...being a Theocracy. Y'know, actually having that government type? Remember that?
I think vonGenf was getting at whether a realm can be a nominal theocracy in the way that realms are nominal tyrannies, monarchies, and republics. I do think that theocracies are a special case, perhaps.