There is a reason the final block of USAFWS is called Integration. That is the biggest thing a patch brings to the fight. A tanker patch may not be flying the night one vul up to the refueling track but you had better believe that they are intimately involved in the fuel plan for the push (if they're not editing PRFs for the Wg/CC). ICBMs have patches. It's not because they need tactical experts to employ their fire-and-forget missile, but because they are ostensibly experts at planning and integrating the available assets and target from the NTO into the OPLANs directed by JCS.
A Huey Weapon School (proper) would not work at this stage because there is not that integration. Yes, weapons are employed and tactics are used but outside of Security Forces nobody is integrated with (unless you add the AFDW mission but you know that they don't like to play nice with outside agencies). Any talk of it is just an OPR circle jerk by officers that want to put their name on things.