Lanefan
Victoria Rules
I think the primary concern differs between players and DM.When you adopt narrativist definitions of story as the only possible definition of story then sure.
When someone says their main goal is to play to find out then I think it’s fair to categorize that as playing to find out what happens next, which to me is about ‘story’.
Now you are right that what happens next is incidental in traditonsl play, but I’m not saying it’s my primary concern. The primary concern is to overcome obstacles.
The players' primary concern is to overcome whatever obstacle is in their way at the moment. The DM's primary concern is to think about both what happens next if they do overcome it and what happens next if they don't; i.e., how to narrate either outcome.