Nope, it won't be anonymous.
Look, any kind of digital age verification must be connected in some way to an actual identity.
If you are running a community operating under EU laws to require age verification, then a simple true/false statement won't cut it.
You will be required to log a personal ID number of the user, signed by the digital wallet issuer, that is the only way to guarantee that a specific person was verified to be of age.
You as an admin of the community might not know the identity of the users, but the government can tie the account back to you.