As long as the gyro experiences the angular acceleration it can react fast enough. Actually for small deviations (like in steering) if you put the gyro up near the nose it doesnt see true angular motion - it sees more of a tangential component that the gyro will not respond to. The distance between the point of rotation and the gyro location is too large and angular acceleration looks linear for small angles. It's simple geometry. It may work in some planes but you will have to dial up the gain quite a bit.

I first mounted my gyro near the nose and it didnt work well at all. Once I put it at the CG it started working. That is the point where the plane rotates about and where the gyro reacts best given its feedback loop and the small angles involved in a steering compensator.