Well it is clear that we have different definitions of story. You apparently see the whole experience as a story, while for me a story is essentially the same as a plot. Now comes the question, how do you separate gameplay and story, when story represents the whole experience? Doesn't that mean that gameplay is an intrinsic part of the story, an inseparable part of the presentation of the whole experience? If not, where do you draw the line on where presentation stops being a part of storytelling?

Just to highlight my point:

Say you're fighting the climactic final battle of a game, but the said battle feels like a chore as the combat consists of repeating the same combinations until the boss is dead. If a fight that should be the most thrilling battle of the game is just boring, doesn't that break the immersion and the atmosphere? Isn't it bad storytelling?