Earlier quoted context omitted.
And yet many services rely on SSN for identity verification in the US (e.g. banks, telecoms, etc.)
You mean they rely solely on someone dictating a SSN number? That's insane. They should ask for a official ID with photo, as the very minimum. 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.