Hi DozyWannabe,
the warning and annunciator system is not directly connected to the flight control logic - so it is never switched off or suppressed by anything directly.
FCOM: DSC Aircraft Systems, 27, 20, Alternate Law:
"In addition, audio stall warnings (crickets + “STALL” synthetic voice message) is activated at an appropriate margin from the stall condition."
This seems to suggest that the "Stall" warning is only activated when Normal Law is no longer active.