There is an AF note (
AF Tech Note 34-029) available via the Eurocockpit website :
Eurocockpit - Archives
(search the URL with the french key word: forfaiture )
This AF note is dated on the 17th of september 2008.
The two Air Caraïbes incidents occurred during august & in the beginning of september 2008.
They show us that an airspeed deprievation is accompanied with ALTN2, PROT LOST, false stall alarms (with QRH/procedures which may not be so clear is that matter).
The AF note (organizing a census of the unreliable airspeeds cases) basically says that this has no operational impact.
Jeff