YaronDav: If drawing the next card(s) in War makes it interactive, then reading regular books is an interactive form of storytelling because if the reader doesn't interact by switching pages then the story doesn't progress. If that doesn't work as a definition of interactive fiction, then it shouldn't work for interactive gameplay.
Do you also think War is a game where players have meaningful gameplay choices, since they can choose to stop playing?
amok: it is a game of chance, and it requier two people to play. if one player stops playing, the game for the other player stops as well. the level of interaction is low, but it is still requierd. the outcome may be predetermined, but unless the players pay attention it is easy for one player to... not quite cheat.... but confuse or outplay the other player. all this makes it interactive, the interactions may be very low level, but it is still interactive
War doesn't need two separate players.
You can play against yourself, acting like both players, and since neither player has any decisions to make, and there's no skill component, there are no issues with doing so and the game will have the same outcome.
For that matter, it isn't hard to program a computer to play the game with itself. You run the program, and the program plays the game all by itself, with no human input, and no AI needed either.