Upon further checking, it's all down in the report.
Originally Posted by D-AXLA BEA report (p.186)
Position of the elevator in the last seconds
From 15 h 46 min 00 s and until the end of the flight, the position of the
Captain’s sidestick was at the pitch-up stop with a median transitional position
of one second at 15 h 46 min 02 s. At the same time, the elevator position
remained in a nose-down position.
Two factors can explain this phenomenon while the law in the longitudinal
axis is a load factor law (the sidestick at the stop commands a normal load
factor of 2 g):
- A rapid increase in the pitch is offset by the flight control law,
- A load factor higher than the value commanded leads to a nose-down
movement of the elevator.
Further reading of the report indicates that the aircraft was in Abnormal Attitude Law (in which longitudinal/pitch is determined by load factor) at this point, not Direct.
Also, judging by the flightpath an extra 1G would have done them no good at all.