For P2 it has to been AOC work. I had to get a letter from company when I put my ATPL in to the CAA saying that all hours in right seat of the CJ was Multi crew as per Jar ops requiring all twin turbofan ac to have two Pilots.
Thats seems to be the only reason that you need two Pilots. The whole if you both have an MCC you can log P2 sounds wrong as you would open up all sorts of ac to be able to have two crews logging time on them.....Multi crew C152's all over the place