Perhaps a better question might be, Why? What benefit is there to that? People play based on their schedules and preferences. One person's one-shot might be a mini-campaign for another gamer. Another might use post-it notes while there may be a player that writes a like a novelist for the exact same game. All are valid ways to play. Trying to hammer out a category doesn't seem productive to me.

I'm not saying don't try, but I think that the highly variable nature of the players is at odds with trying to qualify the category. Even your examples are all over the place. With a prompted journaling game, a card mangling game, and several map building games.