Lonewolf 50
The pitot tube issue despite being the trigger is actually irrelevant to what caused the accident and I think one has to be careful not to attribute a major design flaw to the pitot tubes. To say that there is something wrong with the aircraft is a value judgment implying a serious problem. Remember, according to BEA the pitot tube problem in this incident did clear itself up after a short period.
The actual issue, though is why the crew reacted to the situation they were in in the particular way they did. What caused them to ignore the procedure for UAS? This is the issue, it is nothing to do with the aircraft. Attempts to somehow blame the aircraft are erroneous. One has to look at training and responses to unusual situations. As many others have noted - on the information we have this was not initially a serious incident. We are in the realms of psychology and human reactions here, not physics or computer science.