My two cents: the README should feel effortless to read and easy to skim. For something this straightforward, I’d ideally want to grasp the key points without having to scroll much. Once it starts feeling longer than it needs to be, I tend to lose interest and I think I'm not the only one.
I built something similar but as a tray/cli and not just for usage. You can switch the login of CLIs like Codex, Claude, Vercel (if you're managing multiple accounts) etc
Here's Switcheroo: https://github.com/FTCHD/switcheroo