There also seems to be a translation error further down on the same page, where "nose-up" should read "nose-down" (à piquer in the french original): Quote:
Several nose-up inputs caused a decrease in the pitch attitude and in the angle of attack whose values then became valid, so that a strong nose-down input led to the reactivation of the stall warning.
Maybe not. Too much AOA on a surface can have the opposite effect and it can "lose its grip" and allow the aircraft to develop a pitch rate in the opposite direction. Then as AOA decreases, it would normally regain its "grip" and start pitching the nose back up creating the nose up and down bobble, but if the crew then relaxed their back stick at the bottom of the maneuver, the nose might continue further down than its normal range and allow airspeed to become valid and reactivate stall warning.