It was real. Pitot 1 unblocks at 2:10:35, pitot 3 at 2:11:08. After that they agree until AoA goes above 30° and everything becomes mess.
No, the speed of less than 60 kts wasn't real. The relative wind speed was always above 60 kts, just by looking at the vario and ground speed it is actually above 100 kts.
So the AOA data shouldn't have been "rejected" at all. The system worked as designed, as stressed by the BEA. But the design on this point is bad, and adds unnecessary confusion during emergencies.
I don't see why we should blame the pilots for discarding a warning system that is behaving erratically and against your intuition (nose up= stall, nose down=no stall).
Agreed it sounded 54 seconds straight and they should have done something way earlier. But they were about to fix the stall problem multiple times, when they pushed the stick forward (and the stall warning sounded again at that time... preventing them from continuing in this direction).