Could not Airbus design a plane so that full control does not need to be passed back to the pilot should any input data including airspeed be incorrect? It would be easier for the crew to work the problem if partial automation was maintained.
And there in lies the problem, you can't expect the aircraft's automation to get you out of every problem. Sure, Airbus could make some changes, I would start with WoW component to stall warning, maybe even some way for both pilots to know what the other is doing with the controls. But if you sit in an airplane thinking that automation will save the day, then you have no business sitting forward of the re-enforced cockpit door.
There is a lot of basic airmanship missing from this accident. The "box" that needs fixing in this case is the one that is racked right between the two arm rests. It has double redundancy and is supposed to be the most powerful computer in the flight deck, the one that takes over when all the other ones fail. There is no way to replace that box, and any attempts at removing inputs into it can lead to this sort of sad and tragic result.
That is not just an Airbus problem, but one which the whole industry needs to deal with. Airlines being one of the main culprits with their accountant managing and rampant, unchecked cost cutting. Some things are too important to cut.
This is what happens when some short-term manager makes a decision he knows nothing about which has consequences years down the line, of which they where told about by professionals who new better at the time.