> You don't wind up in a database for buying alcohol.

I don't think this is a good assumption. It's not uncommon for stores to scan your ID when you buy alcohol.

> This proposal puts your name right next to the category of porn you're into, which will be a great way to coerce all those politicians into voting for the "correct" bill. Would be a shame if they found out a state senator watched porn, so maybe they'd better vote yes on the proposal.

This is not quite how typical systems are structured. Rather, the service provider outsources the age assurance to some third party Age Verification Provider (AVP), which then just returns an age estimate or a yes/no. Commonly, the AVP will have a stated policy that they don't share your identity with the client.

Obviously, you have to trust the AVP to comply with this policy, which is not ideal. There are approaches (e.g., zero-knowledge proofs) that provide some technical privacy protections, but they're not currently in wide use.

Note: this is not an endorsement of age assurance; I'm just trying to clarify the situation.