High altitude full stall recovery training is making its way into the sims. I did it last week.
In the Boeings you have to work at it to keep it stalled, but we were doing a falling leaf, descending at 11000 ft/min, 10 degrees nose up at firewall thrust.
The recovery required 20-30 degrees nose down and lots of patience (and altitude) waiting for the speed to build to the point where the stall to became a nose down unusual attitude you could fly out of without entering a secondary stall.
I do not have any time in Airbuses. I can say that all you folks who are saying it should not/would not happen and to whom it would not have happened were not (thankfully) there in the middle of the night in the middle of the ocean in the middle of the weather dealing with contradictory information in a situation that went from straight and level to deadly in the span of a few breaths.
I bow to your mad airmanship skills.