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Slingshot, I just reread your original post, and I have to pont out a problem. There's no restoring force in gyroscopes. They resist being reoriented, but after you've moved them they stay put. It's not like a steering wheel or joystick where you constantly have a force pushing it back to zero. Gyroscopes just resist being moved, they don't care what way they end up pointing. So you won't get "force feedback." just a sort of resistance when you try and turn.
I'm pretty sure Gyroscopes could move the controller around.
There used to be a science centre in the city that I went to a few times, they had a suitcase with gyroscopes in it. It was able to lift itself at an angle while you held the handle with a fair amount of force.
So FPS's could jerk the controller back upon firing, or if you were using the tilt sensitivity to turn, it could force the controller against the way you were tilting it.