The reactor(s?) under discussion in this thread are not intended to be working in orbit - they are intended to be used on the Moon for (more or less) permanent bases. So, the energy needs are not those of small satellites, they are more like the space station, but probably a much bigger station that also needs to charge batteries for surface exploration vehicles and maybe even resource extraction machinery.
Finding a heat sink in space is a bigger deal than finding one on Earth, and that will probably limit the power available from a reactor, and probably make the higher temperature reactor types more attractive because they can radiate heat more effectively into a vacuum.
As for falling to Earth from orbit, considering that is the expected fate of old satellites and that nuclear fission waste remains highly radioactive for a long time, using reactors in Earth orbit is not considered a good idea. But, that is not a problem for reactors that are only started when in-place on the Moon.
However, an unused reactor falling to Earth from a failed launch or failed lunar transfer would probably not completely burn up in the atmosphere. Remember, uranium oxide does not melt until it reaches 5,189 °F, and does not vaporize until about 6,350 °F. Plus, it will be in some sort of pressure vessel that has to burn up first. This is far from the typical aluminum satellite, or even a SpaceX stainless steel rocket, of which pieces hit the ground even though one was intentionally blown up at near orbital velocity over the Bahamas, twice.