These civilian platforms would be acquired or at a bare minimum requisitioned for wartime duties. I doubt the owners would have much of a say.We are getting a bit too off topic on pushing it on commercial owners. Try to to get them to agree first. Historically, they don't because of expenses like insurance, making themselves a target and may not be allowed into port for political reasons etc. I've discussed this too often so let's skip this rabbid hole.
There would have to be some kind of draft process for civilian crews who stay onboard, or (ideally) enough foresight to create a reserve pool of civilian mariners before any conflict.