Narratology and Ludology: Some Conversation

Unlike Juul I feel games are stories and do involve a certain vocabulary tool.  With Juul feeling this way towards game and then reading, “Juul's central claim -- that games are unique creations and they require a brand new vocabulary so that we can talk to each other about what matters to designers, players, and critics of games.”  Isn’t that in a sense storytelling?  Story telling is never the same for each ‘story’ told, there’s always a unique way of showing/telling it, right?