I did preface all of this with "I'm an Atheist" for a reason. I am not convinced by the argument, or any other argument for the existence of any god. However, the difference between this argument being accurate representations of reality are different from those which you suggest. There are certain assumptions one must make in order to grant the possibility of any of those things. Few, if any, of those assumptions would be reasonable to grant. In the argument from simulation, we need only grant two assumptions. The first being that realistic simulations are possible, and the second being that people will want to use simulations to test whether or not god(s) exist. Both of those assumptions are not just reasonable, they are highly likely.
Ask nearly anyone in the computer science industry whether that first assumption is accurate and they'll grant a high probability to it. I would say that with the course of technological advancement being what it is, there's almost a 100% chance that this first assumption is accurate. That is, currently there is no reason NOT to grant that first assumption.
As for the second, I'm sure that at least for our universe, on this planet, that there are plenty of people who would use this method for determining the existence of god(s) if such a method were available to them. That doesn't say anything about the probability of a similar situation being present in other universes (simulated or otherwise), but if this universe ever does progress to that point, and we have not yet left gods behind, then there's a high probability that at least here, in this universe, that we would build such simulations. It may also be possible that due to the nature of societies, not just ours, that gods necessarily become part of the social vocabulary. That is, it may be possible that gods are developed by completely alien civilizations, and that they may have faced, are facing, or will face similar "religious" consequences. This is especially true if god(s) indeed exist in their respective universes. That is all to say that the second assumption is more than reasonable to grant in this universe and there is some reason to grant that it at least could be true of other universes (real or simulated).
Both of those are in an entirely different category from the assumptions which make bizarre propositions such as "we're all squirrels on Mars" a possibility. They're not in nearly the same category. Then again, I understand that your approach is an argumentum ad absurdum intended to show that possibility doesn't make something true, and you're right. This doesn't get us to a 100% chance of god existing, and it never was intended to. It can only prove that there is a possibility higher than zero, that we exist within a universe where god is functionally existent.
Remember the saying "extraordinary claims require extraordinary evidence"? Well, "we're all squirrels on Mars" is an extraordinary claim. Neither of the foundational assumptions in this argument are extraordinary. They're practically trivial. It would be like the difference between my telling you that I am biologically female, versus telling you that I'm the reincarnation of Lao Tsu. It's not unreasonable to say that I've lied on my profile, or that perhaps I'm transgender and merely identify as male. There's roughly a 50/50 chance that I was born female. That is not an extraordinary claim at all. Being the reincarnation of Lao Tsu on the other hand is a big one. First, it assumes that both reincarnation and transmigration of the way things go. It assumes that not only does the soul exist, but so did Lao Tsu. In order for me to demonstrate the truth of that claim, it would require that I provide some pretty steep evidence.
Furthermore, nothing in the argument from simulation requires extraordinary evidence to back up and, in fact, one way of backing them up is through using simulation. That is, one way we could determine if other universes (simulated or otherwise) might get to the point to where they can create realistic simulations, and whether or not some of said simulations would test the existence of gods, would be to create simulated universes which we could observe. This fact increases the probability of the first assumption in trying to determine the probability of the second.
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