Your analysis is ludicrous.
As for this:
Meanwhile, this cadaver is taking up an ICU bed that might save an actual living human being’s actual life.
It is specious or disingenuous, at best, given that the hospital itself is obstructing moving the patient, thus choosing to take up the bed.
A similar bed will be required wherever the body is taken, meaning my point stands. ICU beds are fungible.
Unless the family is willing and able (which they may be) to pay all costs of continuing this farce, nobody else (hospital, insurer, taxpayer) should be forced to contribute to their delusions.
Or possibly they can raise the funds privately, to which I have no objection except to note that a dead human should be appropriately disposed of, not kept around on machines.
IF there is a facility ready to take the corpse, I think the hospital should not obstruct the movement.