I'm not following your objection to quantum immortality, I will note that it also almost guarantees a version of yourself living forever but developing and maintaining a strong belief in "The Dark Lord Santa". There is little difference between annihilation and any other state, the idea that there is a universe where x did or did not happen.
If you're resting your argument on that then you can't draw a line around one state and claim it's special.
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Obviously it would distort our view of how quickly the universe decays into a true vacuum. There's also the mangled worlds idea to explain the Born rule.
Certainly it would do that, but that could have other effects. For instance, let's say that the presence of a magnetic monopole would rapidly nucleate a vacuum decay event which otherwise would not occur. That effect might explain why the standard model does not include magnetic monopoles.
I'll have to dig into mangled worlds, It seems pretty interesting. Will report back with results, hopefully.