Battery energy density is way behind that of bunker fuel, it’s just that cargo ships (at least as far as some googling suggests), have fuel capacity far in excess of what is required for a 5000km range.
You can bunker anywhere, even at sea if you're willing to pay. Ships have large tanks to allow for economically advantageous bunkering at cheap and low-tax ports.
Shanghai to Los Angeles is more than double that
Shanghai to LA is probably the worst example (since the pacific ocean is basically the emptiest spot on the planet, as land/port frequency goes), but Hawaii still exists and they could recharge there.
EDIT: Seems like they mostly use imported oil, so saying "bring us a bunch of oil and we'll charge your batteries with it" seems like the ship is just burning oil with extra steps.
Los Angeles port already tries to achieve zero-emissions operations by 2030 I presume more solar could be added. And I guess some/many ports and Los Angeles specifically could use wave energy. But, again, I could very well imagine Northern Australia supply ports in Eastern Asia.