Passwords are problematic, easy to lose, easy to steal, but an issue with biometric identify verification is that you can no longer maintain multiple personas. Using a password with 2FA, you can quite easily maintain two sets of those credentials, assuming that the authority doesn't demand proof of real name or such nonsense.
If you trust the authority, it's no big deal. And, I trust Google... today. But do I trust Google tomorrow? I don't yet know tomorrow's Google.