What happens to the victims, who are now presumably left unidentifiable? How are they tracked if they can’t be identified? Do their families recognise them? How does that work if they were married, had children or something? Does the identity thief just take over their whole life?
As far as I know, “identity theft” is a boogeyman invented by the banks. Traditionally, when someone would go to a bank and get a loan by pretending to be another person, we just called it “fraud”.
The banks realised that it would be nice to get you to feel some responsibility when they get defrauded, so after a bunch of focus grouping they came up with this new term to imply that you are somehow also a victim when the bank gets defrauded by someone else.