Pistols are secondary weapons for 90% or better of the Military, and it's kind of hard to conceal carbines and machine guns.
Those fields where pistols are the norm are your Military Police. See previous post about the absurdity of trying to hide full duty gear.
Concealed carry for uniformed Military and LE just doesn't make any sense and has nothing to do with "civilian" carry of arms and they have no reason to do so.
Open Carry of arms for "civilians" makes sense in some applications, as does concealed, both of which have nothing to do with the carrying of arms by LE and Military.