This cannot work safely in the current legal and regulatory environment.
In principle, there seem to be ways to securely, anonymously, and privately handle age verification. To the best of my knowledge, no such system has been deployed or mandated.
Thus, we are left with only the requirement to hand over critical documents to those who have no “standards of care” that make it safe to do so.
Have none of these people ever heard of any company or government agency losing control of personal information? How about they put some effort into fixing that first.