The main takeaway is that somehow the pilot who kept holding the stick back was under the assumption that the correct response to a stall in cruise was to apply full TOGA thrust, not to recover from aerodynamic stall. This is likely because in thicker air, close to the ground, this actually works. It also does not help that a mid-cruise stall is extremely unlikely to happen in normal operation, since normal law[1] prevents keeping the angle of attack this high. They also hit an edge case so unforseen, you could consider it a design fault. Their speed was
too low for the stall warning to sound, so every time they moved to recover the plane the stall warning returned, and every time they pulled it back into the stall it disappeared (with the airplane assuming the inputs must be wrong).
I really recommend watching a breakdown of the instruments during the incident.[2] Things happen fast.
[1]: https://docs.flybywiresim.com/pilots-corner/advanced-guides/...
[2]: https://www.youtube.com/watch?v=0a06A78iXnQ