From my (limited) experience with helis - No.
A gyro damps unwanted MOVEMENT, no movement, no compensating effect.
Sure, if your model rears up or down when you operate flaps a gyro would detect this movement &
fight it but once the model settled down & you would be left with an un-trimmed model.
Surely someone knows more about this than me?
Normally on a forum you would have 10 different opinions, all of them different!
John.