We have the example of many Dragon capsules recovered by SpaceX, renting a ship (American Islander) for the duration of the mission each time. It is registered to American Marine Corp.
Contrast that with the EFT-1 Orion test flight, the USS Anchorage, LDP-23, a San Antonio class amphibious transport ship, with a crew of 396, plus NASA staff, which of course, did not have the 'paid for' directly.
What is the real world cost of two days of operations (one day delay in launch of EFT-1 still required the vessel on call) vs the real world cost that SpaceX is incurring in recovery?
If a price can be derived for the LDP-23 ships time, perhaps that could be compared to the cost of the ASDS to be used for landing first stages, plus tug time to move it around.