Well, what quantity of information? It seems relatively unlikely that one would bother simulating an entire universe for billions of years at this level of fidelity; what's the point? On the other hand, the quantity of information needed to simulate your current experiences, including the experience of having memories, is probably in the megabytes; human bandwidth just isn't that high.
The same logic suggests that, even if you discount simulation for reasons of faith or whatever, Boltzmann brains are worth considering. The idea that the experience you're having right now of reading my precious prose is worth keeping a universe running, or even a large-scale simulation, is a bit self-centered of you, isn't it?