And to put an even finer point on it, it isn’t just control authority but keeping the damn thing even stable. The only reason those things stay aloft is the controller senses minute changes to the orientation (called attitude) of the craft and adjusts the motor speeds in tiny amounts to fight those changes. Without that quick feedback loop the craft would flop all around and crash.
It’s one of the reasons you don’t see gas powered quads. Gas engines just cannot react fast enough and precise enough to correct subtle changes in attitude.