Apollo 4
Yep, you have almost hit the nail on the head with regard to pilots providing details of their work hours. We have fatigue management in place, and there is a paragraph in the operations manual that says "may require a statutory declaration from the pilot confirming that --"we"-- are in possession of all the work hours. I believe that we have the right to ask whether or not a pilot has been working, but also, I don't believe that it is our business what they have been doing, or who they were doing it for.
Your comment "duty of care" sums it up.