Also, if you want to actually turn heat into electricity with a turbine, then you need the ability to heat and cool your medium repeatedly [1]— locating power plants on shorelines is very convenient for this, since you have a heat source from your combustion, nuclear reaction, whatever, and then a functionally bottomless cooling source in the water.
https://www.wired.com/story/the-dream-of-mini-nuclear-plants...
If your goal is to produce something that's useful in a short time span, it's better to use proven tech.
The same meteorites that create craters in the moon would fall over a nuclear plant so I assume that would need to be put in the face of the moon that is closer to Earth. Otherwise this would mean having several local areas of the moon contaminated and forbidden forever in a few years. Not wind, animals or water in the moon, so apart of the ejected dust, radioactivity should remain in the same place at least
A recent Chinese probe has shown that lunar regolith is radioactive just from cosmic ray bombardment, so as a general rule I am guessing that future lunar operations will treat the entire lunar environment the same way we treat places like Chernobyl. Shield everything, watch your dosage and exposure, and do everything possible to prevent inhalation/ingestion of particles from the external environment.
Some innovation is in order. Mass reduction and radiation safety are among the highest design priorities I'd say.