Dozywannabe
Not necessarily - if the sim experiments are anything to go by, then there was at least a minute after the THS hit the nose-up stop in which full nose-down could have remedied things.
A theoretical assumption.
In the animation video
at 2h:11m:55s the pitch is -10°, AOA is 38°
at 2h:12m:08s the pitch is -10°, AOA is 41°
at 2h:12m:52s the pitch is - 8°, AOA is 36°
The decrease in pitch did not do that much in decreasing the AOA.
Now take your guess how far the nose has to be stuffed down to reduce the AOA to below stall AOA, how long it will take, and how much time and altitude a cautious recovery to level flight will chew up without risking secondary stall.
In hindsight with the FDR data and with this animation we know how high the AOA really was, the crew did not and therefore did not react in an apropriate way.
A successful stall recovery after 2h:12m without the knowledge part of the flying community gained from AF44 is out of my imagination.