Having just paxed half way around the world where I was expected to immediatly go to work, then paxed back and again expected to go immediatly to work all I can say is that I have the utmost sympathy for those aircrew that work on these long routes.
On my return I had some *urgent* work that had to be done which coincided with my body screaming at me to go to sleep. I'm just glad it wasn't something where anyone's life was in my hands.
Perhaps you should petition to have your management work alternate weeks on opposite sides of the world.
I think it would focus their minds on the issue.