FDU guidance doesn’t let me walk around wearing a g-suit, parachute, helmet, survival vest, or full-scale airplane backpack. Taking off or putting on a belt after flight isn’t really an issue. We’re better than getting hung up on that.
That said, it would be a shame to lose the bag to an equally or less functional garment. A distinctive flying uniform has its value in an organization that Americans count on to fly, fight, and win.