We also don't live in 1980 anymore...Interactive doesn't have the same impacts as it used to, whereas it used to be a novelty merely to interact with a computer, now that computer has become such a part of society that the interaction is done via computer, with another person...
Thing is, I've seen games where you interact with the enviroment, even today. There was that "Red Faction" game where you can interact with the enviroment by blowing stuff up and then going through those hazards. They even use the exact same buzzword of "interactivty" in its ad campagin, and I think it was around 2000 when that game was released. Maybe, by interactivty, it means that whatever you do in the game world could end up affecting the future of the game world, leading to different endings, so you are interacting with the game.
Interactive is just too broad for me to just pigeon-hole it in just one method.