Nice discussion going on here.
What I meant initially was that, if you think it would be good if some areas of responsibillity of the Captain/PIC were shared with the Operator, and not lie entirely with the PIC.
Legally, it doesn't matter how much pressure they've put you in, if something happens, it's all the Captain's fault.
And not just that, but i.e. responsibility of newborns on the flight, writing it down, making sure the proper authorities are notified, and all those other little details that aren't part of the operation of the aircraft.
Still I'm glad that some very experiencied ones gave their own contribution here.