I also suspect it was better for the crew to end their last airline flight as crew in their home country...
A few years ago, was on a Delta flight out of Detroit to Boston. Over halfway to Boston, we turned back as the airplane had a maintenance issue that Delta wanted to deal with at DTW rather than BOS. (They do have a permanent presence at BOS, but a larger one at DTW.)
In this case, it's not about the FAA. An military base can choose not to prosecute once they investigate, but don't assume that they are just fine with strangers landing. Emergencies can be staged and, as stated, if there are sensitive combat and intel operations ongoing then it will be a serious incident.
This is no different than calling search and rescue to save your life, and then getting a bill afterwards. Still an emergency, and still has consequences.
It is a crap shoot, based on optics, and partially based on real data. You have to hope your investigator, or boss, sees the data the same way you did....
You made the opposite choice, lose your airframe and your life, and then you should 'clearly' have made the other decision, because the data's in...