Mr Optimistic
Is there any circumstance were pushing the nose down can initiate or exacerbate a stall ?
Hardly possible? (speaking entirely as a theoretician only).
You want to point the nose into the wind, more or less so the wing can start working "proper" again. If the wind isn't coming from below it soon will be, assuming you are flying the right way up.
Nose down a bit should give you more horizontal velocity too, Going faster horizontally should send the AoA in the right direction. These guys needed a horizontal velocity of over 1000mph if they were going to get out of the stall by "outrunning" it, so to speak, As it was, they had the engines on idle, I believe.