I would define that as the first aspect of Airbus FBW stall-warning logic that might be reconsidered.
AI has already considered the problem and is trialling new FWC software:
See post #1100
"STALL WARNING enhancement: Stall warning will work when:
Undetected erroneous computation of pitot
Pitot out of the airflow
Pitot obstructed by ice or any foreign material at any speed (function now possible below 60 kts)"