What? The parent seems to argue that it's good enough that "most of the time" it's the correct SSN that's declared dead. No big deal that occasionally the wrong SSN is blamed. How can that be good enough? The point of all these systems is that they can go wrong. And since we are dealing with people who, you know, have other things to do than fixing other people's mistakes, then these systems must make it easy to correct the problems. And should minimize the consequences. And probably compensate for them.
What does that even mean "annoy the "false positives"" in this case? You mean just leave them dead?
With "false positives" I mean people mistakenly identified as deceased. Anyways, since there is an SSN, such problems happen less often to begin with. And once it is resolved, then it should stay resolved as the record is associated with the SSN.
Even in the present UK case, the actual problem was the incompetent way how the "false positive" was resolved, not the fact that it occurred in the first place