Desktop equivalent is that you have a terminal available at a short-cut/button-press that will always show it but not fully hide the rest, no matter what other context you're in. Pretty handy.
I cant be the only person who uses Quake-style terminals at fullscreen. The second part of your sentence is the crucial bit: the ability to instantly conjure a persistent terminal regardless of whatever else I have on screen.
What I find annoying with my workflow (linux) is that starting a terminal and shell takes a lot of time. I wonder if it's possible to have a terminal always loaded so that my keybinding for creating a terminal would actually: move terminal in current workspace, focus it, then spawn another invisible terminal in the background.
I am a single massive monitor kind of person. Quake-style terminal + all apps in maximized window + multiple desktops (with a shortcut to switch between them) is so good. Pull up the same terminal no matter which desktop you are on.