You cannot mod a real-life machine gun to shoot 10x as fast by changing the trigger; the whole design would resist the attempt. You cannot make a real-life human body make a 180° turn in 10 ms and then stand still; the laws of mechanics won't allow that.
If you want a guaranteed balanced game, the game code should observe these limitations, no matter what controller is used. What is possible in the game world should not depend on that.
As long as games allow for inputs that give an unfair advantage, people will find ways to use that unfair advantage. They will take apart a certified controller, connect the buttons to devices that produce fast repetition, connect the thumb joysticks to devices that allow faster movement, etc. There is no way to plug this hole, like the analog hole in sound recording. The only way is a correct model.