I think you are close to a hidden truth here. There seems a certain arrogance of thought which usually limits most folk to projecting only the parts of our viewpoint that suits our arguments or ambitions for or against anything. So we might assume we could measure something like a theoretical rotation that could be occuring within a seemingly expanding universe. Yet as I think you are saying, the free movement of expansion would prevent us sensing any centrifugal force, assuming there was even a centre of expansion, or of rotation, which would surely coincide.
In all of this, we presume that our own atoms are not themselves also expanding, like all of space.
Otherwise, even though expanding atoms would give us a basis of a mechanism behind the gravity we sense, with it there could be no big bang, so of course no centre, and no limits on how big the universe might be, suddenly the universe is again unlimited.
We have to have a limited universe, to suit our limited minds, which might be linked to our idea that money and energy also have to be limited. Our need to quantify all things could be linked to our desire to be able to commodify all things, I think.