Expand your horizons friend.
On an average day, there are almost as many retirees and other privileged veterans on any given post, base or installation as permanent party AD types. Include these folks.
Regarding the military simply authorizing anyone let alone everyone to carry, you must not have spent too much time in the uniform. Commanders are almost always risk avoidant- the civilian CCW places the monkey on the trooper/sailor airmen back, more or less.
As a former enlisted infantryman (11B3V) and a sapper officer, I can tell you the type, amount and quality of firearms training compared to what the average civilian CCW type benefits from, not to mention rules of lawful use of lethal force in self defense pale. Lockstep range days are not conducive to the dynamics of a non-tactical lethal force situation, and not much ahs changed since my infantry days, even today.
I spent a bit of time working with a protective detail after retirement, maybe then I received comparative small arms training defensive wise.
As a retired field grade officer, I assure you that there are folks in uniform that won’t qualify for a state issued ccWL, probably more than you think possible. Let the state vet them, require mil/naval added stuff if you wish. My DL isn’t issued by the DOD ( except for driving mil vehicles, but then I was required to have a state issued DL too, yeah.).
Maybe use the CCWL for us well qualified but nonduty status types who frequent or even work on mil bases but are out in the cold any other way ( even LEOSA).
“you must not have spent too much time in the uniform”
I’m prior military and don’t go for all that blather you write. You obviously know little of the low level of CCW training it takes to get the license.