The people that really have me scratching my head are the crew of the heavy lift vessel. This is what they do. They should be able to take on, transport, and deliver cargo without damaging it. They deal with ships & crews that have never done this before. Therefore the heavy lift guys should have it worked out where they don't have to rely on their cargo doing the right thing. I consider this a serious professional black mark against them.
If it were me (on the heavy-lift vessel)... I'd have the loading procedure down to: put your vessel in deep water; shut down your engines; put your hands in your pockets; sit down, shut up, and enjoy the ride. I'd do everything with my guys and winches. Same thing unloading - don't stand up, take hands out of pockets, nor start engines until I'm a mile clear and stern-to. ;-)
Arleigh Burke-class guided-missile destroyer USS Fitzgerald loaded on heavy-lift transport MV Transshelf, November 24, 2017. US Navy/Mass Communication Specialist 2nd Class William McCann