OK, it might be a cultural thing. Do dogs probe the secrets of the world around them, with all that barking, even a little? Is it that they're in an early phase and will eventually advance to do more with stones than lick them sometimes?
What would our being baffled by a super-intelligence look like? Maybe some effect like dark matter. It would make less sense the more we found out about it, and because it's on a level beyond our comprehension, it would never add up. And the lack of apparent relevance to a super-intelligence's doings would be expected, because it's beyond our comprehension.
But this is silly and resembles apologies for God based on his being ineffable. So there's a way to avoid difficult questions like "what is his motivation" and "does he feel like he needs praise" because you can't eff him, not even a little. Then anything incomprehensible becomes evidence for God, or super-intelligence. We'd have to be pretty damn frustrated with things we don't understand before this looks true.
But that still doesn't work, because we're not supposed to be able to even suspect it exists. So even that much interaction with us is too much. In fact this "what if" question undermines itself from the start, because it represents the start of comprehension of the incomprehensible thing it posits.
> Do dogs probe the secrets of the world around them, with all that barking, even a little?
It’s a form of communication. You can learn to distinguish different kinds of barking a healthy dog is making, but that doesn’t mean you’re going to care nearly as much about a large animal showing up.
Legs are a small subset of the problem. “Where did I see that last?” involves mapping out and classifying the environment. There’s some really impressive demos of manipulating objects on a table etc, but random clutter throughout a house is still a problem.
With dogs it’s less a question of intelligence but communication something more intelligent AI is unlikely to have a problem with.