I'm not convinced that's peculiar to Airbus Matt. Most aircraft will automatically recover from a stall
if left alone. I always understood that aerodynamics plays very little part with this type of aircraft. I remember the impressive demonstrations of the Airbus at Farnborough at an extreme alpha angle when a conventionally controlled aircraft would have fallen out of the sky.
http://www.youtube.com/watch?v=0jz957KRXzQIn your example would not the computer attempt to correct the nose-down attitude by applying up elevator? This would be the normal reaction of a human pilot in a conventional aircraft in similar circumstances & would make the situation worse.
What's always worried me about 'fly-by-wire' systems is whether it's possible for the crew to override the computer or even have any control at all in the event of a catastrophic electrical failure. When the whole system relies on a simple component like a pitot tube did they ever think to have a backup of a different type in case it goes wrong? A chain is as strong as its weakest link.
Pitot tubes are fitted to all types of aircraft & have worked reliably for many years so what's different about the ones used by Airbus?
That is the whole idea behind this aerodynamic design. If the entire fly by wire system failed then the aircraft can be flown by differential thrust alone. We have seen with for example with the Soux City crash that it was
possible with a DC 10, but it is designed into the Air Bus not to be possible, but to be able to do it. This is one of the reasons why the flying control surfaces are aerodynamically neutral. Without power, they droop on the ground, but in the air without power they go naturally neutral with the airflow and cannot freeze in an up or down position. Can the pilot over rule, the answer is a big NO! Against this, outside of one
very public accident, when have the computers got it wrong agaist the rather large number of pilot error accidents? As for the pitot tubes going tits up, for start there is not just one. The pilot has one, the co-pilot has one and then they have a standby. It cannot boil down to just a pitot failure. The right and left systems are separate as is the standby system. What is common to the three systems is pitot heating, but even that has different channels. Without the CDR and CVR it is just speculation and window dressing by anyone who decides to replace fleet wide pitot tubes.
Matt
"A bit of a pickle" - British translation: A catastrophically bad situation with potentially fatal consequences.
PETA

People Eating Tasty Animals.
B1 (Cat C) licenced engineer, Boeing 737NG 600/700/800/900 Airbus A318/19/20/21 and Dash8 Q-400
1. Captain, if the problem is not entered into the technical logbook.........then the aircraft does not have a problem.
2. And, if you have time to write the fault on a napkin and attach to it to the yoke.........you have time to write it in the tech log....see point 1.