1) I get that the whole idea of Boltzmann brains is unwanted in physics, but that is just because it potentially invalidates a lot of our knowledge. Now, if we could find out that the universe has only existed for a finite time because otherwise something would have Changed in a major way in it, and we have some sort of multi verse theory going on, then its no longer a problem. But besides that, I don't think that it is as huge a problem as everyone thinks. Sure, its undesirable in one way, but it may well be true, like moral relativism.

and 2) I don't think that you quite got what I was saying. Yes, that is what happens to a Boltzmann Brain, but the point I'm trying to make, which is the same thing that physicists find troubling, is that in an infinite looking universe, every state of the universe would be recreated. The whole thing, including the galaxy we live in. Say if something went wrong, and you died in five minutes. This infinite world would require that happening countless times, as well as the universe in which you did not die, or survived happening an infinite number of times.