AFAIK they are not ever unique
> To date, 450+ million SSNs have been issued, but with just under 1 billion possible number combinations, there has never been a need to recycle numbers, and the SSA notes that it does "not reassign a Social Security number (SSN) after the number holder's death."
https://gizmodo.com/what-happens-to-your-social-security-num...
If you have two systems and you want to correlate data between them, you can use something like the SSN to assist in that process, but usually it will need additional information.
Generally you can't use something someone supplies as a shared identifier. You can't start the process of verifying it, after all, without an identifier. You might think of all sorts of ways around this, but they all boil down to either tolerating errors or making the SSN a secondary attribute rather than a bona fide identifier.
https://www.ssa.gov/history/ssn/misused.html
There are actually lots of dummy SSNs that are used by a lot of people (including illegal workers).
Is that something that goes against the American culture? The other day I had to give all 10 fingerprints to renew my driver's license (location: South America) and nobody seemed to care.
Of course in 2019 this is basically a moot point if you want to be integrated into society, but even then there are people who are legitimately not integrated into the modern US economy by choice.
https://www.nerdwallet.com/blog/banking/undocumented-immigra...
It's hard for a phone bank operator to ask for a photo ID.
I assume the fingerprints thing is for future crime solving?
Conservative Christian fundamentalist groups have, ever since Reagan, likened a national ID card to "the mark of the beast", citing Revelation 13's prophecy that no one could buy or sell goods without the number of the beast, and the reference to God's chosen people that refuse the mark of the Beast.
When a small but meaningful fraction of your constituents fervently believe that giving them a national ID literally damns them to Hell, it's a hard sell.
Much easier if you attach it to a tool (Social Security) with which they can get money.
There's also the angle of State's Rights and whether the federal government can require people to have national ID over just amalgamating the various state IDs.
Finally, Americans generally distrust their government. Not without reason, they believe a national ID would reduce their privacy and allow the government to more easily spy on and track them.
We would call that an error on their part, and I don't see why the same logic doesn't apply here.