Airbus covered this briefly covered in the last Safety Conference. It was in the context of "Black Swan" events - ie. Statistically one off events - Hudson, QF 32, the A300 in Bagdad, Sichuan Windscreen etc.
Airbus's position was much a focus on resilience (being a mix of competence and confidence) being the tool to manage Startle. There should be no training beyond SOPs but pilots should be aware of where they stop so that the can act outside the box. Training programs introducing surprise elements must ensure that they can be returned to safe flight. Negative training to be avoided and used the blocked pitot situation as the example.
TR training now is not a scripted lesson plan but exercises conducted that will achieve training objectives.
As for replaying Hudson type events - Airbus don't have a problem with it per se, but do NOT recommend it for training courses.Iif you have 15 mins at the end of a sim session, go ahead and play, but bear in mind that there may be negative training.