you have greatly decreased the probability of being in an infinite descending chain.
No matter what there aren't going to be any infinitely descending chains unless our understanding of the laws of physics is drastically wrong. You can't simulate n+1 bits with n qubits. So, even if you assume a quantum simulation for a purely classical setting, you still have strict limits.
There remains singleton chance simulations and dynamic equilibria of nested simulations, but those are both intuitively less dense in clones of your universe
I'm not sure what you mean here. Can you expand?
Imagine that some Clarktech version of ourselves dedicates an entire galaxy to simulating the Milky Way. Would we have noticed by now?
Neither does the simulation need to be perfect: it only needs to be perfect wherever we actually look. This makes for a much more complex program, but might save on computing costs.
Anyway, yeah, you probably won't get an infinite chain, but you'll get a very long one, which leads to my second point:
A "singleton chance simulation" just means that someone randomly decided to simulate our universe in particular. This ...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
Of course, for "every Monday", the last one should have been dated July 22-28. *cough*