Several of us pointed out that games evoke other emotions having to do with sports tension, accomplishment, satisfaction. Maybe that's enough. Moreover, Steve Meretzky, a story game designer of note, could not think of a single game that became a favorite because of the story itself. Worse, somebody thought that stories will migrate away from games to the Internet, where MUD's, chat rooms, and the text-heavy ienvironment offer natural support. Finally, every year it amazes me to hear several attendees confuse contests or historical proceedings with storytelling.
Stories are, in effect, the recapitulation of extraordinary fictional events and characters.
They demand an author. Certain kinds of games provide the elements for narrative invention and rely upon the player to fill in the blanks. In general these narratives are constructed on the fly by the spectators or players themselves, and are actually histories of their real activities in a virtual world. They only seem like stories. Somebody described an online world in which people can agree to have kids, and then these NPC offspring have characteristics like hunger and need for attention, like Tamagotchis.