Even with a "privacy-preserving" mechanism, I'd remain worried about censorship risk. Are you a government, and you want to punish one of your citizens without lifting a finger? Then deny them the ability to verify their ID with anything!

In principle, you could probably cook up some mechanism to prevent this. But then the information would also be irrevocable in case of error, which I doubt governments would accept. Not that ID verification is a foolproof proxy for the actual physical user in any case, short of invasive "please drink verification can"-style setups, which I worry might look tempting.