So turn it into an insurance agent and keep paying premiums.
A pilot union with recognition rights yet lacking collective bargaining powers becomes a tool used by the company to give the illusion of civilty. Whatever crap they throw gets legitimized, condoned and perceived as accepted by the AOA by the very fact that it wasn't opposed, rejected or fought over. Humbling letters and off-colored lanyards don't count. In the real world, unions have such powers. Here, not even close. Call a strike and watch the first crews to not report at despatch be fired for missed duty. Call CC and watch the defectors run for the woods as rosters go evil and staff travel gets pulled. Initiate MSS and....
Waving a gun without ammunition can get you into far worse trouble than waving no gun at all. At least it then becomes obvious to all who is the bully and who is the victim.