But why must it know even that? If a question goes unasked, why should we ever imagine that it has an answer?

But we have no understanding of how to specify "precise" information. The concept of a number is an example of precise information, but in all physical contexts, numbers represent approximations. It was always purely a guess that precise numbers have anything to do with reality, and there is no observational evidence that this is the case. Indeed, the observational evidence is quite to the contrary, which is what Jetlack is pointing to.

We can agree that the current state is what the universe is in, and in that sense must "know" it, but at issue is how much information is actually encompassed in that current state. There is no good reason to think the information is precise.