That's a possibility. After 20-30 years in low earth orbit, you've probably learned much of what you need to know. (Although I'd make a push for a centrifuge module to be added to Freedom.) At that point, the game may be best turned over to private consortiums.
Insofar as the Centrifuge Module is concerned. Freedom ITTL is already slated to have one fitted, albeit a very small and experimental one. Although a small Centrifugal Gravity Simulating Space Station would be a decent candidate for Post-Freedom.
I think if it's a return to the Moon, it has to be for the long-term, in some way shape or form. At the very least: an orbital or Lagrange station remotely controlling robotic explorers on the surface, or a surface station itself.
Which would almost certainly be preceded by smaller robotic missions to help determine the best sites for such a base. IIRC, IOTL the Lunar South Pole region is the current favoured site for such a base. On account of high He-3 quantities, near perpetual sunlight and water-ice in the permanently shadowed craters.
Yes, the question remains: Why do we return to the Moon? Is it worth it? We know it's far more romantic and inspiring than putzing around in low earth orbit, but... Griffin was never really able to answer that question properly.
Which is why ITTL, just like OTL, you'll get those pushing to send crews straight to Mars, which has a much more complex and interesting history attached to it - depending on who you ask.
Well: I'll be interested to see what our authors come up with. This will only get harder as we depart more and more from our own timeline, and NASA has to think about what it's next HSF project will be post-Freedom, post-Cold War. But so far, it's all been very plausible.
Small wonder it's been so fantastic so far!