honestly this is only really an issue because organizations are using SSN as authentication and not just as identification, caused probably by the lack of a federal id scheme, compound by the inability to easily change the SSN itself as you would with an id document (which is why here ids are relatively short lived and we can get away with ssn equivalents that are for life)
Bingo. In sweden as example our birth date plus 4 unique digits is your nation wide id/ssn. So obviously your ssn is not exactly a secret and instead you also have to proove that you are you with a photo id or online 2FA id.
There's no such thing as loosing your ssn because it is already public.
