[neversaydie]

Yes - Twine is for what's called "CYOA" (after the old Choose Your Own Adventure book series) or "choice based" interactive fiction. That type of IF has its origin in gamebooks, and generally consists of sections of text that you move between by picking from a list of choices ("to open the door turn to section 223, to run away turn to section 543", that sort of thing). Digital tools can add more dynamic elements, but generally it's rooted in the experience of reading/playing a Fighting Fantasy or Choose Your Own Adventure type gamebook.

The other main type of IF is the "parser" kind - that's the Infocom style where the UI is a bit like a command line, you type arbitrary commands, and get dynamic feedback. The main tool used nowadays for making that type of IF is Inform 7, though there are others.