S'Torque
The horizontal stabiliser would still have an aerodynamic effect during a high rate of descent, rotors turning or not.
It would - to shuttlecock the nose down, as would the moment of the drag from the boom, given that the rotor lift was surely sharply reduced just before that point... in the same circumstances, the hypothetical slow/stopped rotors would tend to shuttlecock it belly down.
If the circumstances were right for a sharp pitch down, then it could even establish a "tumble".