Military personnel in the USA are, in general, highly respected and this is at least reflected when they fly.
Largely, when travelling in uniform, they are given "a break" from many rules. They can check in extra baggage without charge. They are allowed to board first irrespective of class or status (probably so that they have a chance of finding overhead space for their sometimes large carry-on). People are known to see military personnel boarding the aircraft and give up their F seats willingly to allow them to sit there, with no compensation.
I'd say military don't play any DYKWIA cards, except the ones who would be worthy of a charge of conduct unbecoming. They don't just bring a baggage train because they can. They don't shove people out of the way in line. They don't force people to give up their seats. That's at least how I would understand it. Of all the arguments about "class" and "status" and the deliberate inequalities there should or shouldn't be when flying domestically in the USA, the treatment of US military personnel seems one that nearly everyone agrees on, and it's not even well written up.