Rather, what we know (anthropically) is that the typical observer-moment comes from an ordered history within a big, simple universe. If the universe works as we think it does (just assuming MWI, not Level IV), then there do exist Boltzmann brains in the same state as my current brain, and some of them have successor states where they do see the chocolate-hamster singularity.

But the measure of those observer-moments is dwarfed by the measure of the observer-moments in orderly contexts, or else my memories wouldn't match my experiences and my current experiences would be highly unlikely to be this low in entropy.