Garage years:
A couple of threads back, either Chris Scott or Confiture posted a link to a small video of a pilot flying a sidestick (in turbulent weather? at low altitude?) that he opined as being in the realm of over controlling. Is what you described in the same ball park, or do you think it's larger control deflections?
If the plane can be in Alt 2 at altitude, and thus need to be hand flown in tha tmode, should not the training syllabus include such tasks and skills be mastered, or at least demonstrated?