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However, if you login to a graphical desktop, that is not a text terminal, and therefore everything is effectively nohup'dNo, it's not.
I think you're looking at this in the wrong way. The concept here is one of sessions and the parent-child relationship between them, as well as the decisions parent processes make when they create and manage (or don't manage) child processes.
If you log in to a text console, you end up with a process (like bash) controlling the terminal. If you run normal programs in the foreground, or even in the background (as long as you don't disconnect them from the controlling terminal), they are all children of that bash process. When you quit bash, all its children get terminated as well.
When you log into a graphical session, the login manager (or whatever) will start your desktop's session (which might just be a plain shell script, maybe just your window manager, or might be a full-blown session manager, or something else entirely). Whatever that is, it starts other applications (say your window manager, a panel or dock, desktop manager, etc.), which then can start other applications (browser, chat, media player). If you log out of your desktop, ultimately what happens is that original session-starter (script, WM, session manager, whatever) quits, and it takes all its children with it.
And regardless, the graphical session still runs in a TTY, just not in text mode!
> Since the kernel's idea of "a login session" is wrong
The kernel has no concept of login sessions at all (it does have the concept of "sessions", but they are unrelated to user login). It just starts something as root (init, as PID 1), and from there userspace takes over and does whatever it wants, including the possibility of starting a getty, which can run login, which can setuid() and launch your shell if you put in the right password. (Or run a display manager that does something analogous with graphical sessions.)
So back to the beginning:
> The trouble is that 'nohup' is not a particular state that specifically marks processes that want to survive logout. Instead, the rule is that processes running inside a particular terminal are killed when that terminal closes, and processes running outside any terminal run as they please.
Those two sentences would seem to be contradictory, no? "nohup" is of course not a particular state, though it is responsible for putting a process into a particular state: that of not having a controlling TTY. Which is (greatly simplified) what determines whether or not a process keeps running once the TTY's controlling process exits.