I'll bet sim instructors around the world are duplicating the THY AMS situation now - if for no other reason than to gather statistics on crews' response to subtle system failures
You are probably right. But remember there are companies that actively discourage simulator instructors from teaching outside of the syllabus square. So despite being keen to act as you suggest, they are constrained not only by SOP but run the risk of the occasional "student" bitching behind his back and as a consequence the instructor gets a tea and bikkies session with a stern admonishment to stick to the syllabus.
But apart from that, instructors occasionally see some alarming events that leaves you knowing how some of these strange accidents start in the first place. For example: Crew were intercepting the localiser (in the sim) but one autothrottle developed a fault. As the thrust increased to hold the glide slope only one thrust lever moved up from idle. The other crept up steadily to 80 percent N1.
The crew simply were so engrossed with reading the landing checklist and monitoring the MCP that neither pilot saw the split throttles or the ever increasing wheel angle as the autopilot tried to hold the localiser. After 45 seconds or more, the first officer spotted the split levers motioned with one hand towards the offending thrust lever and you could almost hear the bemused captain muttering "Cor" WTF is going on 'ere"
The long suffering autopilot said stuff this for a joke and disconnected with loud wailing. Captain sees the closed throttle and calls for engine failure checklist. F/O is obedient to the bitter end and scrabbles on the floor for the QRH as the sim rolls into ever increasing bank angle beyond 55 degrees. We hit the ground just as the F/O (unaware of the flight path ) got to the page starting with Engine Failure and Shut Down checklist. And this from pilots with lots of time on the type.
Certainly head banging stuff in more ways than one..