Why don't officers wear marksmanship badges?

A few points on officers and marksmanship badges.
- Authority to wear. No reg that I am aware of that prohibits officers from wearing marksmanship badges.
- Culture. Officer culture is not to wear markmanship badges.
- Logic 1. NCO domain is individual while officer domain is collective generally speaking. One reason why officers are armed with pistols rather than rifles is because our primary weapon is a radio and our primary purpose is to integrate and synchronize a fight (lead it) rather than to be an individual Soldier in the fight. This logic might be the driver on the culture that I note above.
- Logic 2. Tied to above but what good is officer who is an expert shooter but who can not provide purpose, motivation, and direction to his/her formation? Can/should officers be experts on the weapons and systems within their formations? Yes but their focus should be on integrating and synchronizing these weapons and systems. Enlisted and NCOs should be the experts on the individual weapon or systems employment.

Before my enlistment in the Army, I served in the Marine Corps. The Corps has a principle that every Marine, regardless of rank or MOS, is first and foremost a rifleman. That principle of universality of primary duty extends all the way to the Commandant of the Marine Corps, who shows the way by firing for qualification with all the other Marines under his command.
After my appointment as a Warrant Officer in the Army, I continued the tradition of the Corps, and wore my rifle and pistol badges proudly. I could not help but think that my fellow officers were either non-qualifiers, or ashamed of their low level of skill with the primary tools of our Military.

I see this as being an additional disconnect between Officers and Enlisted. The bottom line is that we are all Soldiers and the badges represent the maintaining of our Soldier skills.
Perhaps it is time to break the recent tradition of Officers not wearing the skill badges that we have all earned as one Army.