Wait would this even work? Can you add moon gravity to centrifugal space station gravity? I can’t imagine a setup where the wheel is always pushing inhabitants out in such a way that they are moved towards the center of the moon.

Yes, you add accelerations as vectors. Say, a centrifugal ring flatly lays on the Moon surface and rotates (around the axis of ring symmetry perpendicular to the ring plane) so that the artificial gravity on the centrifuge is about Earth. Moon gravity, about 1.42 m/s^2 , adds perpendicularly to that, so the total gravity is still about the Earth one. The level surface on the centrifuge is slightly tilted away from local vertical, but in essence you just added Moon gravity, vectorally, to the rotational acceleration.

I am fully in favor of doing things on the moon, but have a theory that its relative convenience is actually detrimental. Without going into a lengthy spiel, convenience means low commitment, which translates into a high likelyhood of projects getting the plug pulled.

Elsewhere, the hurdles to clear to get something started are higher, but once you’re out there it’s a lot less justifiable to reverse course.

It could very well be true that it’s necessary to settle the Moon before doing anything else, though, which could spell bad news for any endeavor involving crewed spaceflight. We might end up with a series of false starts on the Moon (due to events like funding getting pulled as a result of changing politcal winds) that end up going nowhere which then puts crewed spaceflight in a state where it's stuck in LEO perpetually.