Entering your child's age when you create their user account is a loss of privacy?

The current bills (e.g. NY one at https://www.nysenate.gov/legislation/bills/2025/S8102/amendm... ) require age assurance that goes beyond mere assertions, so when creating your (adult) user account it would be required to give away your privacy to prove your age - if you can't implement a way for anonymous/pseudonymous people to verify that they indeed are adults (and not kids claiming to be so), these bills prohibit you to manufacture internet-connected systems that can be used by anonymous/pseudonymous users.