No, it really couldn't. If it can't disclose your identity, then there's no mechanism to revoke a compromised or cloned identifier, and no ability to demonstrate in court that you performed the necessary diligence correctly.
Age verification systems must, inherently, either produce a secure proof of age with no genuine anonymity, or a chocolate teapot highly insecure proof of age that's no better than a "I am over 18" tickbox that isn't going to protect websites in court from these clumsy laws.
See, e.g., the GDPR, which as written has strong language against storing data, but as applied is riddled with 'reasonable' exceptions that have never been tested in court. It's like Schrödinger's regulation, it's both incredibly restrictive and trivial to comply with (unless you're Super Evil™) at the same time, somehow.
If it becomes commonplace, the iPhone could vouch for you about your age, without disclosing your identity.