2FA is really quite the revelation in privacy settings, but it seems like it's still early days for it. Most people still don't use it, and I started using it no longer than a year ago or so. When it works, it works, but when unusual things happen it can get messy. I don't think Google will let itself become obsolete in anything, but I wouldn't be surprised if they made big changes to their authenticator to keep up with better ideas.