In that case, doesn't your password manager support TOTP?
Unless you only access that site via public infrastructure like a library, but that might not be infrastructure that you want confidential information to run over, because everybody and the milkman has access to it. And even then, 1Password for example also has an online version that you can access in those cases.
A paasword manager is also "your brain". A website can be happy with just a password.
For crying out loud, people don't need 2fa for a knitting forum!
No, it isn't a crisis if someone gets my credentials to the knitting forum, the pics of acrons forum, and the local 'reserve space at the county pool' website... all in one go.
I can just change them all at once, from the letter 'a' to the letter 'b'.
I've set the bar pretty low these days for "if you require a login, I go somewhere else" because there are plenty of places that just don't need it in my opinion.
To be honest, I class Twitter as one of those places; I go there to read certain information from specific "outlets" but Twitter as we all know have made it very difficult (as with other social sites of this type) to be read-only.
I dispute that. Does the Nintendo Switch have a password manager?
My point from the root of this tree was that I do not want to make a shit travel (github asks me to prove identiny by mail > gmail asks me to prove my identity by phone > my phone is somewhere else because I am not addicted to it) just to have an ability to use my github from web-interface. If I can successfully use my bitcoins without any 2fa/totp security theater than github is just shitting me with no good reason for me and for my helloworlds collection.
Probably just saving cookies solves the problem of the shit travel, but since every few hours session of browsing makes me to store tens megabytes of cookies with no value to me (except of not un-logging from github) I use to clear all cookies every time I close my browser.