In my case it wouldn't anyway. Almost all of my 2FA is tied to my password manager as well. I am sure I am not alone in this. It is kind of scary to think about though.
I do the same but, for me, the threat of my password manager being compromised is much much smaller than the threat me not enabling 2FA out of laziness or the concern I might lose my 2FA codes. I keep my main email codes out of the password vault and that is enough to calm my nerves.
Not everyone has the same risk profile/tolerance, but I just wanted to say that I don't think anyone should feel bad about doing the best they can, even if that stops short of the absolute best.
Not everyone has the same risk profile/tolerance, but I just wanted to say that I don't think anyone should feel bad about doing the best they can, even if that stops short of the absolute best.