On the other side of that, my wife has been in the Navy for over 4 years and has zero weapons training. I've tried to help her, but she gets too scared by a hand guns. Rifles and shotguns are a different story, but she's only held them unloaded. Her job? Pediatric Nurse. This makes her very deployable. Based on this, I think it should be a case by case consideration. Just because you're military doesn't mean you should be handed a CWP. Those military not covered in the law should take the course and pass the live fire test too.
Fyi, I'm prior Marine Infantry. I'm getting the permit and taking the live fire test. It's a large silhouette target at close range. If somebody can't put 21 of 30 rounds in the black I certainly wouldn't want them handling a gun.