PJ2's reference to IR3, (p72 - 76) made me read those pages again. I was puzzled by the following reference to the FPV, since the trace on page 107 shows that HDG-VS selected all the time (my bolding):
At around 2 h 11 min 42, the Captain came back into the cockpit, (...) Neither of the two copilots gave him a precise summary of the problems encountered nor of the actions undertaken, except that they had lost control of the airplane and that they had tried everything. In reaction, the Captain said several times “take that”, doubtless speaking of the FPV. (...)
There also seems to be a translation error further down on the same page, where "nose-up" should read "nose-down" (à piquer in the french original):
Several nose-up inputs caused a decrease in the pitch attitude and in the angle of attack whose values then became valid, so that a strong nose-down input led to the reactivation of the stall warning.
Plusieurs actions à piquer provoquent une diminution de l’assiette et de l’incidence ...