Pistol has nothing to do with a mobile QB. Just attempts to combine shotgun and QB under center so you could still have power running.
It splits the difference between the two.
Pistol is not a trick formation or any such thing.
“Never argue with an idiot. They will only bring you down to their level and beat you with experience.” MB Rule # 1
In 'The Last Boy Scout' they used the pistol offense in the opening scene. Unfortunately the quarterback didn't make it too much further.