One problem was that the stall warning stopped due to high angle of attack even though the plane was stalled, and it started again when the nose was lowered and the AOA was in the "valid" region again. This might have confused the pilots in a situation when they already had inconsistent airspeeds etc. to deal with.
I'm sure that the flight training will also be investigated, there has been concerns that improper stall recovery technique is being taught by some instructors: http://www.caa.co.uk/docs/33/012010.pdf
(And of course, in planes that are not certified for stalls, you can't really practice full stalls and have to train on approach to stalls instead.)
Of course, very little airliner training happens outside a simulator, which can you can stall without damaging anything.
You should get an introductory flight lesson, then you could ask do have a stall demonstrated and see which flight simulator matches best. There are a lot of signs you don't get outside a full motion simulator, such as wing buffeting and "mushy" controls.
It's the stalls caused by uncoordinated flight during a steep bank or snap spins caused by exceeding critical angle of attack, regardless of speed, that will kill you. The first is easy to get into in a trainer like a C172. The second won't happen (safely) unless you're in something with a bit less lift and more power, like a Pitts.
Maybe they should apply mild taser shocks to pilots stalling in the simulator. I'm not being snarky. There should be some kind of physical consequence of making bad mistakes, otherwise it's too disconnected from reality.
A simulator "crash" is not nearly significant enough to their reptilian brain. Their neocortex may register it as a failure, but for the reptilian brain is just a big nothing.
Adding some physical jolt may drive the lesson deeper in their psyche, that a crash really is a bad thing.
Actually, most fatal crashes are "stall-spin accidents", where pilots stall the airplane near the ground without sufficient altitude to recover. But those are not cases where you keep the airplane in a deep stall for 90s. When you stall an airplane in VFR, it's obvious what happens.
No one would persist in keeping the airplane at 20 degrees positive pitch while descending at thousands of feet per minute without realizing the airplane is stalled. But here, without outside references and with obvious confusion about the state of the airplane, it was apparently beyond these guys. (Except the captain, whose comment about "no, don't climb" seems to indicate he was on the right track, but by then it was too late.)