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I’m not sure I agree with the “no one claimed” part, because I think the proof is specifically targeting the claim that it is more likely than not that we are living in a simulation due to the “ease of scaling” if simulated realities are a thing. Which I think is one of the core premises of simulation theory.
In any case, I don’t think the reasoning only applied to “full scale” simulations. After all, let’s follow the thought experiment indeed and presume that quantum mechanics is indeed the result of some kind of “lazy evaluation” optimisation within a simulation. Unless you want to argue solipsism in addition to simulation theory, the simulation is still generating perceptions for every single conscious actor within the simulation, and the simulation therefore still needs to implement some kind of “theory of everything” to ensure all perceptions across actors are being generated consistently.
And ultimately, we still end up with the requirement that there is some kind of “higher order” universe whose existence is fundamentally unknowable and beyond our understanding. Presuming that such a universe exists and manages our universe seems to me to be a masked belief in creationism and therefore God, while trying very hard to avoid such words.
The irony is that the thought experiment started with “pesky weird behaviours” that we can’t explain. Making the assumption that our “parent universe” is somehow easier to explain is really just wishful thinking that’s as rational as wishing a God to be responsible for it all.
I’ll be straight here: I’m a deist, I do think that given sufficient thought on these matters, we must ultimately admit there is a deity, a higher power that we cannot understand. We may as well call it God, because even though it’s not a religious idea of God, it is fundamentally beyond our capacity to understand. I just think simulation theory is a bit of a roundabout way to get there as there are easier ways to reach the same conclusion :)
Broadly speaking, I'd say simulation theory is pretty much more akin to religion than science, since it's not really testable. We can draw analogies based on what we see in our own works, but ultimately it's not really evidence based, just 'hey, it's funny that things look like simulation artifacts...'
There's a couple of ways one may consider it distinct from a typical theology: