Although clearly the model people are working with when they describe AI as a religion or they invoke AGI or the Singularity is based on the Abrahamic faiths rather than paganism or animism. I assume a lot of people with such beliefs also believe in some sort of simulated universe (as proxy for a metaphysical/supernatural realm) and that a sufficiently intelligent AI would simply be able to take root on reality... somehow. That direct analogy between technology, raw intellect and Godlike omnipotence has been a staple of science fiction for decades. Two early examples I can think of offhand being "the Jesus Incident" and Asimov's "The Final Question." And of course it's all over pre-LLM AI accelerationist stuff written by the likes of Ray Kurzweil and Rudy Rucker, Charles Stross' Accelerando, Vernor Vinge's Fire upon the Deep, the Culture series, etc.
Even granting an LLM reasoning abilities far beyond our own, I don’t see how that gets us any closer to either. Calling such a system godlike seems less a statement about the capabilities of the system than about how little we’re demanding of the word “God.”