Some countries do mind even then (New Zealand particularly.)

But it's probably easier to believe the US would stick around to help clean up the mess, since the US Navy will presumably continue to exist and desire to operate in foreign ports in the future. A private shipping company on the other hand could effectively poof out of existence once they become liable for a nuclear accident cleanup.

Also the Navy has a nearly 75 year history of safely operating floating reactors.

That's way more comforting than anything out of the "move fast and break things" crowd".

Well, and an equally long history covering up major large-scale boondoggles and outright insane decisions that end up killing a lot of people.

I mean, you're probably still getting bombarded by Camp Lejeune ads. That's playthings to the military.