You speak as if 2FA were something that most people use willingly and not just something they put up with because they're forced to.
People take the path of least resistance; we know this. It's why, for the longest time, people used one password for everything. People don't like using password managers, either, but we would all agree that it's unacceptably insecure to not use them, because the alternative is "one password used everywhere, maybe with a single varying digit on the end".
If you remove the ability to store 2FA codes in password managers, the path of least resistance becomes "people don't use 2FA at all".
A great expanse of users (note, not normally the ones who frequent HN) see all these 2FA codes, and passwords as well, as just an irritating impediment to accomplishing whatever goal it is they wish to accomplish at the time.