Well...
I don't think that is the actual case, lev. You PERCEIVE that your stick movements are having a larger effect when zoomed in, but it is simply a perception. he amount of movement produced by a particular stick deflection is constant, given a constant speed and initial attitude.
Just yesterday, I was out shooting my AR-15, scoped with a 3-9x variable power scope. With it, I can "zoom in"on the target.
When I am zoomed in to 9x power, my heartbeat (!) causes a visible movement of the gun on the target--an inch or so, visible, at 100 yards.
When I am zoomed out to 3x power, that movement is not visible. Did my heart stop causing the movement? No. It's my ability to perceive the movement that has changed, based on the angular size of the target in my sights. The same applies in AH.