They were training in the real thing. He was still on IOE.

Sorry Charlie FAR 121 prohibits pilot training with fare paying customers on board! They are allowed to line check as I think it is called during a normal trip but no flight training!
Training is a student and instructor, at what ever level you wish to examine is pushing and poking the aircraft in all area's of the aircraft's flight envelope with the instructor certifying the trainee's competence in all area's of flight. An designated examiner sitting in the right seat observing what the PIC is doing is not flight training.
Call me "old fashion" but a pilot should know everything about his aircraft before allowing him to haul passengers for hire. He should be able during an oral exam explain every system in the a/c which can be controlled by him or other crew members. Example, today's airline pilots sit in front of a "glass" cockpit screen which if something goes wrong, is supposed to tell him what is wrong and suggest corrective action.
How about the DC9 captain who wouldn't go to full power taking off from Washington National, (Now Ronald Reagan), who's inlet temp gauges had froze up due to lack of turning them on and he struck a bridge and killed a bunch of people. He had several clues to alert him that things were going down hill fast and all he had to do was shove both thrust levers all the way forward and that accident would not have happened. But, because he was able to answer all the text book answers, he was certified to fly the 9 in cold weather operations. That goes right back to the point I have been making, had an instructor somewhere in his training, pulled the breaker for one or both ITP's, he would have that experience to fall back on and probably would have recognized what was happening and took corrective actions.
though, hands on training, in the real thing cannot and will not ever be replaced by sim's as the best method to train pilots sir!
