You can use your password AND that authenticated and still valid session or device to do the reset.
Google gives you options with your free account.
1) No 2FA
2) 2FA with insecure methods
3) 2FA with security keys and authenticators.
4) Advanced Protection Program
5) Paid account options with additional options / controls.
that's not true. You need to think of a threat model. 2FA still successfully prevents attackers that do not yet have a session to connect to your account.
So it is still a clear net benefit.
What it does not prevent, is attackers downgrading your account from a session that already exist. At this point it is easy to argue that if an attacker has this kind of access then the only thing you can do is add 2FA to all critical actions, not just removing 2FA (that would be the least of your issue), but every critical action you can do in the app.
For example if the app is a bank, and wants to protect against these kind of attacks, then they have to prompt 2FA every time you want to want to send money (at least).
Google's own 2FA app (Google Authenticator) doesn't even let you export your keys.
Though I tend to use U2F. With Yubikeys and other U2F keys. I use my Yubikey to store a backup of the TOTP (Authenticator type) codes. I also set a password and touch required to generate the codes.