I'm aware of the page and whatnot. I've gone to the blog post where the tiers for the characters were listed as well as the reasonings behind them, and I have found no indication of Azzy in his court being intended to be an avatar; it seems strongly to be referring to the main thing, evidenced in this:
A window on all of space-time, granting its user arcane secrets and knowledge in exchange for terrible sacrifices,
in Demonbane, the Shining Trapezohedron is a portal to a prison universe containing Azathoth itself; the Court of Azathoth,
for those sent there to be tortured for all of eternity.
It is the most powerful offensive weapon. This is the type of weapon used to take to battle against Nyarlathoptep.
EGD was described as being capable of doing this, and some of these Demonbanes are *also* High 1-A beings (Like Demonbane Two-Sword)
There was Demonbane driven by nobody at all. There was Demonbane driven by a non-human There was Demonbane that was not a robot. There was Demonbane made out of flesh and blood. There was massive Demonbane. There was little Demonbane. There was Demonbane with the form of a beast. There was Demonbane with no form at all. There was liquid Demonbane. There was vapourous Demonbane. There was Demonbane in the form of ionized matter. There was Demonbane with an ethereal body. There was Demonbane with two swords. There was Demonbane which resembled blood. There was Demonbane with two engines. There was Demonbane with three faces and six arms. There was Demonbane that brought an infinite amount of soldiers. There was Demonbane who rode a dragon. There was Demonbane that is a space battleship. There was Demonbane with light sword that can cut through a star. There was Demonbane that was God. There was Demonbane that was fell into evil. There was Demonbane that fused with a human. There was Demonbane that was reborn as a human. There was Demonbane that existed in that past. There was Demonbane that exist in the present. There were Demonbane that existed now. There were Demonbane that would exist in the future. There were Demonbane from other possibilities. There were Demonbane that had no possibility. There were Demonbane that traveled through the end of space and time.
In the same blogpost, Azathoth is *also* called God (in the singular) which further emphasizes EGD as being one with all the possibilities of Azzy's dream.
Additionally, this is stated about Azathoth, and while not pertaining necessarily to EGD, it does seem to have some metafiction implications:
When he wakes, it will end
It will simply vanish, and there will be no one to know or remember it
Or perhaps it simply will have never existed at all
So is the world really nothing more than a fantasy?
But even the god who dreams at the center of the world, the god who created all things, can never, ever destroy it