Quote:
Originally Posted by
CONF iture 
When the flight control inputs were inappropriate, the stall warning ceased, and when they were appropriate, the stall warning reengaged …
And this is not specific to Airbus aircraft CONF. The fact is that when you have pitot/static failure, all bets are off when it comes to warnings/indications and the crew must concentrate extremely hard to work out what's going on.
Worst case is alarms that don't help.
May I add this to the debate:
14 CFR 25.207 (extract): "Once initiated, stall warning must continue until the angle of attack is reduced to approximately that at which stall warning began."