When aiming with a weapon readied at any other area it is fine but when you aim toward the tail of the helicopter it will snap toward the back and cannot be pulled away, this will happen with any weapon.
A work-around is to leave the vehicle completely and get back in to fix it but if you aim toward the tail it will happen again. Switching seats will still cause it to stay in it's stuck position.
Lowering and raising the weapon has no affect on it either and it will continue to be stuck.
This is only for the left door, the right door acts normally.