I’d say a military pilot giving NATOPS checks is probably better prepared than a brand new CFI, at least they were in my P-3 days having gone through the squadron IP training syllabus.
I don't disagree with the overall point of your post, but from what I've heard in talking with VP guys and what I've seen on the helo side, the VP IP track (which isn't even a thing until the FRS/TRACOM for helo guys) appears to be more structured than anything in helo-land (fleet-wise).
I understand what Bac-Otto did is perfectly legal and understandable, I do tend to agree that going out and teaching someone how to hover on the civilian side is nowhere near giving someone a NATOPS check in a -60.
A lot of military flight training is "figure it out yourself/why are you fucked up when the others aren't." We do need fleet pilots who can figure shit out for themselves and we also need to wash out the ones who can't, so yeah, that's how it is sometimes.
At least at TW-5, I found there to be a decent amount of instructional technique taught on the FITU side. Maybe that wasn't the case when you went through with the T-6 because it was new. It sure seemed like it was a thing on the HITU side, when talking to HT bubbas.
I didn't see quite as much of that on the FRS side. There's certainly some of it, but not as much of the "when Junior does x he fails, let's try to teach him a different way by doing y and hopefully get a different result for the same maneuver." But then again, that comes easier after doing 4 IP tours and having 2K+ in model, so that's not necessarily the fault of of the FRS syllabus. Again, this goes back to what I saw at the FITU...you had guys with 3-5K in model, all IP time, so you would see lots of varied technique to store away in your bag of tricks for later.