It automatically compensates for speed and power changes in normal and alternate law, it doesn't in direct law, manual pitch trim wheel has to be used.
We still don't know in which law the aeroplane was when control was lost.
From news report it seems that there was pitchup, stall and loss of control. Everything else is open to interpretation.
There's mountain of data recovered from FDR and it waits for thorough analysis.
Patience is advised.