A very experienced older pilot once put it very succinctly to me in conversation. He said it would not have happened in a Boeing, not because of the difference in cockpit philosophies or computer systems, but because a Boeing has a big control yoke that you can see being pushed forward or pulled back. The control inputs are clear to all in the cockpit.
A number of Boeings have already been lost to the exact same scenario. Blocked pitot, slight climb leads to increasing airspeed, pull back harder to try to slow down and speed keeps increasing. Eventually you end up with an over-speed warning and stall warning at once, a couple of 727 were in deep stall before they had any idea of what they were doing. More recently there was a 757. In most of these cases the crew just had to apply a reasonable power and fly an attitude and it would have been ok, but they chose to chase the speed instead. Also get to know the performance of the aircraft, if it's doing something that's just not possible think twice about what is causing it, scan all the instruments and try to isolate what does not make sense.