@vilas while mine opinion differs significantly from C/A's, I do not find your otherwise correct point applicable to this thread.
Yes, the controlling pilots for both AF and QZ made hard to explain inputs after losing spatial awareness. The question why was this not over-ruled by PIC was never answered sufficiently. Reading the QZ report in this respect is heart-stopping.
The take-over button only works when you use it, again your note on incompentece are true. Yet the intuitiveness is galaxies apart if you need to correct. Airbus pilots (LHS+) are trained to cope but are they proficient in using the button? What means are there to achieve and maintain such skill? Is it understood that teaching the "I have controls" call and press the button (per FCOM/FCTM) is negative training?