For ST27:
Perhaps. The report definitely notes that when the PF lowered the nose a couple of other times, the silenced stall alert CAME ON again - and the PF STOPPED lowering the nose in response to the alarm (or at least, at the moment the alarm came on - cause and effect is strongly circumstantial).
If you do something, and someone or something starts yelling "No, no, no!" - it is basic human nature to STOP doing whatever it was - even though it was the correct thing to do.
Shades of Buffalo - when the alarms went off, the FO "undid" the last thing she'd done before the alarm (raised the flaps she'd just lowered.)
The design of this alarm taught the AF PF in a very short period of time that "if you lower the nose, you will get yelled at. If you don't lower the nose, the alarm will stay quiet."
That is not good design.