The zero one infinity rule also makes it seem more unlikely this is the base level of reality.

The Zero-One-Infinity Rule hasn't been shown to apply to our reality, and even if it applied to our reality it would also permit "One".

It seems rather convenient that I am living in the most interesting period in human history.

Can you give us a list of most-to-least interesting periods in human history? You have an anglo name, and I think you're living in a particularly boring period of Anglo-American history. (If you had an Arab name, this might be an interesting period though, though not as interesting as if you were an Arab in the period of Mohammed or the first few Caliphs)

but I would want to run ancestor simulations, for my merged transhuman mind to be able to assimilate the knowledge of running a human consciousness of myself through interesting points in human history.

You don't actually know what you would want with a transhuman mind. If simulations are fully conscious (the only sort of simulation relevant to our argument) I think that would be a particularly cruel thing for a transhuman mind to want.