Mr. Optimistic
Is there any circumstance were pushing the nose down can initiate or exacerbate a stall ?
I saw my wingman push nose down stick (relative to the aircraft) at very low speed at the top of a loop maneuver (he was chasing the "bad guy" who was trying real hard to get away).
Result was a very stable inverted spin and a not so beautiful ejection.
He had been taught to
forcibly "unload" the wing in training.
For airline flying, the lesson is that you need to be carefull about nose down inputs as well.
At very low speed (like AF447), if you generated a high nose down pitch rate, you could go right on through flying angles of attack to
inverted stall angles of attack.
Suppose they had run the trim full down on AF447 and generated a strong pitch rate nose down. The pitch rate momentum of the aircraft could have easily taken them on through into an inverted stall. By the time you are feeling yourself get light in the seat, it can be too late to stop the pitch rate.
That is why jets need AOA indicators. So they know where they are in their AOA envelope.