The multiplexer v emulator is the key difference. At least for me. Exactly because of the ssh and session persistence you mean.
For the thing to replace the TUI, I'd expect something in between current terminals and X11. With the simple, limited (and thus easily remotable) data of the current terminal emulators, but with much more drawing capabilites than the current grid-limited ascii art.
I came to this idea when trying to get vim up to a full IDE. Trying to get even half of netbeans' interface into vim just takes so much space in the ascii grid. And anything dynamic moves half the screen a shitton.
For the thing to replace the TUI, I'd expect something in between current terminals and X11. With the simple, limited (and thus easily remotable) data of the current terminal emulators, but with much more drawing capabilites than the current grid-limited ascii art.
I came to this idea when trying to get vim up to a full IDE. Trying to get even half of netbeans' interface into vim just takes so much space in the ascii grid. And anything dynamic moves half the screen a shitton.