The average person does not understand the math behind zero-knowledge proofs. They only see that state infrastructure is gatekeeping their web access. Furthermore, if the wallet relies on a centralized server for live revocation checks, the identity provider might still be able to log those authentication requests, effectively breaking anonymity at the state level.
On a practical level, this method verifies the presence of an authorized device rather than the actual human looking at the screen. Unless the wallet demands a live biometric scan for every single age check, they will simply bypass the system using a shared family computer or a parent's unlocked phone. We used to find our way around any sort of nanny software (remember net nanny)
what you are describing still remains a bubble and I really hope Americans aren't looking at EU for any sort of public policy directions here.