Pitot tubes may be at risk here (I do not know but I doubt it because they don't seem to clog up from other airborne issues EXCEPT water/ice) but if so for very different reasons than jet engines. And your description of the computer response bears little relation to the supposed fate of the Air France flight.
Unlike the Egyptian pilot who deliberately drove his aircraft into the sea. Been checking on the pilots of the craft your friends & family are flying on, before they go?
BTW, the usual description of Airbus control systems is "fly-by-wire," as opposed to mechanical control. Electrical, fiber-optic and wireless signaling (yes I know they don't do this) are all very different from mechanical control.
Pito tubes can be fouled and obstructed, and clogged from proper drainage by any number of environmental debris. Improper drainage can lead to inaccurate airspeed indication and the possibility of a cascade of computer errors.