Actually, no. This is a terrible idea.
Think about the psychology of what you are telling people: "You have two choices - one is normal security, which you use on 80%+ of the rest of the internet, and one is 2fa which you only use on the annoying services that badger you into it. On the first one, if you lose your password you can do a password reset. On the second one, if your laptop and phone get fried in a rainstorm / car crash / act of children, you lose access to everything forever, no recourse and no recovery. And by the way, we totally encourage you to choose the second one... "
Yes, online services that store credentials and backup passwords mitigate this somewhat, but they also add an attack vector via keyloggers, or make you dependent on the third party's security measures.
And I probably don't need to point out to the HN crowd just how badly internet services are moving towards no-recourse solutions to petty problems to save money. Yet another one doing this is not a good thing.