These kinds of situations seem hilarious when they happen to someone else, not as much when the audience of the joke has been involved in such a thing.
I remember having to shut down the various active accounts that my father held while he was alive, and it was more than a little spooky doing so, since we have the same name. There was something kafka-esque in the way these accounts maintained their own existence and generated their own activity despite belonging to a dead man.
That weird interaction between legal persons who are immortal and human persons who are not, does seem like the perfect opportunity for fraud. It’s the sort of crime that hasn’t been formally recognized yet, and that an immortal person is unlikely to care much about.