Have you considered perhaps you're underestimating what happens when one entity can be highly intelligent about everything?

We see a lot of highly effective people that are experts in two domains. I'm not sure we have examples to look to, but I think an intelligence that can run in parallel and is an expert in N domains is going to be a Big Deal.

I do like your thoughts on it not knowing the future, or having omnipresence. I hope those remain powerful barriers for AI.