Correct, if it's 2FA with a phone number. Avoid 2FA with a phone number if possible and use any other method (OTP, YubiKey's, etc.)

Phone number is already a 2FA for regular logins in many services. The problem is their processes also allow it to used in a 1FA reset scenario, so it's not true 2FA.

If a sites uses the phone number as a 2FA, no it will not...

I'm not a security expert, but it would seem to make sense, to have the password reset 2fa come to an account that your phone isn't attached to.