It's worth also emphasising that they can be combined, so that you can combine the touchpads with the gyro such that the touchpads do coarse mouse movement and the gyro does the fine tweaking. This is apparently surprisingly effective, though I've not tried it myself.

Similarly, for FPS the gyro can be used for additional aiming and even set such that it's only enabled when one of the joysticks is touched (via the capacitive receiver).