If domain doesn't match, password manager of choice will not suggest to populate credentials. In that case it doesn't matter if 2FA is saved by the password man

If domain doesn't match, password manager of choice will not suggest to populate credentials. In that case it doesn't matter if 2FA is saved by the password manager, or is managed on another device, because you won't have the chance to use the 2FA. If domain doesn't match, and you manually copy the password, and login, you can as well manually copy the 2FA code.