If I'm remembering correctly, several years back Airbus had a directive to replace pitot tubes on the some of their planes because of icing, which would provide the wrong inputs to the flight computer resulting in instability and loss of control. Sort of like trying to drive your car when you can't see out and the cluster is dead.
As is often the case, though, there are usually a number of factors at play in any plane crash, and I would bet this one will be no different.
I'm guessing if they send over the voice recorder the NSA can probably filter off the alarms. Heck, the NSA probably already has recordings.