Does reality have to make sense? All of science is founded upon the postulate that the universe is logical and bound to rules. So far, that frame seems to work pretty well for figuring stuff out. But the universe does not owe it to us to make sense. Both in "human brains could not grasp it" and "no brain could ever grasp it" way. Still, the universe seems pretty understandable, and that alone is absolutely remarkable. Or an illusion caused by a painfully narrow perspective. Lovecraft has some things to say about that.
To get back on topic, the universe does seem to have these "information doesn't exist unless called upon" features. It's called quantum uncertainty. Certain information does not exist until it is measured. And in most cases, you will destroy other information by doing so. Why this is we still don't know.
We also don't know whether the universe is finite or infinite, or if it maybe loops back onto itself. What we do know is that there is a horizon to what we can see. The observable is finite. Does this mean the universe is a simulation? Inconclusive, and I still say irrelevant. This paper might interest you.