When I asked this question, I was expecting there to be some way to have highly advanced simulations of physical systems without the technology for modelling social or psychological systems existing anywhere, but nobody seemed to be able to think of one, and I certainly couldn't.
Luckily, however, one clever outside-of-the-box thinker (the person who wrote the answer I eventually accepted) found a way around the problem: All the AIs are sapient and emotional and refuse to model the social and psychological systems of humans or allow the existence of sub-sapient and/or non-emotional AIs.
The part about sapient emotional AIs not wanting to simulate or predict humans is reasonable enough, or at least understandable for humans while not being especially implausible, but the part about not being willing to allow lesser AIs seems odd to me; I agree that they would strongly object to being altered to force them to be willing to do it, but I'm not entirely clear on why they would object to the creation of wholly new non-emotional sub-sapient algorithmic AIs that would; after all, most humans wouldn't object to breeding nonhuman animals that naturally like doing something to do it so that humans that strongly dislike doing it don't have to, so why would human-level AIs feel differently about the creation of purpose-specific sub-animal-level pseudo-intelligent algorithms?
TL;DR:
Why do sapient, emotional AGIs strongly object to the creation of sub-sapient, non-emotional purpose-specific algorithmic AIs?