EDIT: I should also mention that I have an MS in aeronautical engineering, and specialized in stability in control and avionics (the things that went wrong in this mishap)./EDIT
I agree 100% with the assessment that the new information does not deepen the mystery, it pretty much explains everything.
The quote from gp about lack of flight training is excessive, but it is in the right direction: those guys screwed up big time, and a big contributing factor was almost certainly inadequate training in dealing with emergencies of this nature.
They screwed up because their SA bubbles just completely collapsed because they were getting conflicting information from their instruments: simultaneous stall and overspeed warnings. Situations like that are exactly why we still need real, human pilots in these aircraft, because a properly trained crew, who truly understand the systems will be able to put together the clues to figure out what's really going on. A disproportionate amount of my training as an aviator has been dedicated to understanding all of the ways that the systems in the aircraft I fly can break. It's critical to understand not just the common failure modes, but also the interactions between them (what we call "compound emergencies"), especially when following the procedures for one emergency can exacerbate a concurrent emergency.
The thin is, in this situation they didn't even have a compound emergency: the only failure was in the pitot-static system. This is an aircraft which requires a sophisticated automated flight control system to remain stable in many flight regimes, and that automated flight control system is utterly dependent on reliably accurate data from the pitot-static system. In that context, these guys should have been drilled heavily on all the ways that the pitot-static system could fail, the manifestations of those failure modes, and how to respond to them. For example: "If you get simultaneous overspeed and stall warnings and your VSI is deeply negative, you are in a stall and need to ignore the overspeed warning and execute stall recovery procedures." Actually, when I word it that way, they shouldn't even have needed special training to figure that out: the VSI should have made it obvious.