Well, lots to think about here. While I don't have inside info on the operations that were going on, the boat was being lifted by a cargo crane and doing that with passengers aboard is not how the US Navy generally operates. It is the norm to transfer passengers at an accom ladder or other point rather than keep them aboard while being lifted.
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Important Point - for those who are quick to compare the USN to Merchant Marine standards, it should be noted that this ship is run by MSC (Merchant Mariners) with Naval Officers running the medical mission. There is no doubt in my mind that the Civilian Master was heavily involved
in this evolution. By the way, I'm not saying that hoisting with passengers was definitely wrong as there may have been some mission specific circumstance that made it the proper choice in this circumstance.