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?
Yes, I do, it's why I mentioned Averoth in the first place.
Note that it is not my aim to complain about the government types here, they're fine with me. I just want to say that Feylonis had a point: it makes sense to consider Summerdale and Libero as "SA realms". In practice, the church has as much to say about the behaviour of Libero than it does about the behaviour of, say Astrum.