Trusting a bunch of people seems a lot better than trusting a single person. For instance, in this case, the two sane pilots were able to restrain the third and prevent a disaster.
This is just completely untenable in reality, you're going to have multiple people jump in during an emergency (how do they know? will they be monitoring every flight at all times?) and potentially rip the controls away from PIC because they, by committee, decided on the spot that they could do a better job?