What about security? In the UK nuclear installations are under 24/7 armed guard from a special police force. That would be expensive to maintain in a remote region, although I guess they already have security at diamond mines, or instance
Reasonable Assumption: The "remote communities", "mining sites", etc. which both qualify for a nuclear power plant, and can afford it, will be fairly select & high-budget places.
Vs. Wikipedia says the entire U.S. Army (active duty) has ~485,000 personnel.
Divide...and that's ~0.17 Army people per acre, even if the US Army had NO job except holding down the NTTR. (Which is actually US Air Force, BTW.)
[Edit: But +1 - because in the bigger picture you make a valid point. However vast the open spaces, at the spots where the cool & expensive stuff sits, there does have to be some sort of "real" security. If only so dodgy locals don't swing by with a pair of bolt cutters, and start helping themselves.]