The aircraft went straight to Direct Law while performing an ALPHA PROT at low altitude in landing config, I think that this is the final reason of the crash.
We dont need to go much futher to know what caused the accident.
The Control Laws didnt catch the plane while performing the deep Stall and later the dive. Instead, the loss of auto trim in Direct Law and the full up position of the stab limited de manouver envelope for a recovery when the control transited to Alternate Law.
Probably it get to the limit of 2,5G during the pull up, this is pretty scary in a commercial jet, but it wasnt enough.
I dont know if the plane structure would have resisted 2,6 or 2,7 Gs, but I prefer to wreck the plane rather than being wrecked by the plane.