RE: TBM 8711 vs 5955 servo test...
Consider a servo with a constant load well within its capability.The load curve when traveling in one direction would be displaced from the load curve when the servo traveled in the other direction dependant on the error in its position caused by the deadband at that load. That is the hysteresis loop.
See an electronic text on magnetism. Hysteresis is explained there as caused by the set taken by the magnetic material that must be overcome when the load is reversed. That is similar to what we call deadband.
What you call the difference between the servo actual position and its commanded position? I don't know. I call it the error signal. It is dependant on the load applied.