Movement of the THS is by hydraulic power and does not depend on "aerodynamic pressure on the elevators".....
The question might rather be, "Will the THS move WITHOUT a change in airspeed along the instantaneous flight path, regardless of SS command?"
If it will during some period, under whatever conditions, that would essentially turn SS function additionally into a fancy trim switch and the autotrim into a pitch command augmentation system during this period.
This would not seem to be day-to-day 'normal' autotrim functionality.