Isn't all of those cases then also proof that if the SSN was a government ID instead, all of those things would have been the same? The ID wouldn't "impossible to make transactions and survive", just an impediment, just like not having a SSN is today.
Point is, the US already basically have a de facto "ID card", they just don't call it as such (yet?), so claiming somehow correctly labeling this thing would make things worse or more difficult, doesn't make much sense.
You can't really identify someone by their SSN. My card is literally just a piece of cardstock paper with a name and number, and no one has ever asked to see it. There is no photo. There is no security.
Point is, the US already basically have a de facto "ID card", they just don't call it as such (yet?), so claiming somehow correctly labeling this thing would make things worse or more difficult, doesn't make much sense.