Right, that's what I mean though. If you died on the table, but they brought you back to life (or however you want to frame it), they don't file a death certificate and you walk out and adopt a new identity or whatnot. It's just not that complicated. Mr Immortal's case is special, in theory, but since he was doing it via identity theft/fraud/whatever, it's not like MCU-Court has ruled on it.
They didn't actually argue any of that in the show either, they just bargained with the spouses and paid off the hush money.