...as shown by the system safety assessment process, would cause or contribute to a failure of system function resulting in a catastrophic failure condition
I think what Airbus needs to do is set the probability of triple airspeed failure = highly probable in their analysis, and then modify their systems so that such events are ho-hum non-events. This will not be inexpensive. Then again, accidents are not inexpensive either. They have to be already looking at this question and cringing at the cost. We need to collectively hurry them along in their decision process---before we have more reasons to do so.
Making better pitot tubes more nearly resembles putting band aids on the existing process.
You can almost bet that they discounted the possibility of a common mode failure of the pitot tubes in their initial system design process.