I would interpret the quote a little differently, but then, I tend to think of the story as the confluence of characters, plot, and setting.
And yeah. I don't think there's any plot that can ultimately be separated from the people acting in it. You could say something like the growing-up plot is "universal," but on the other hand, we have a lot more stories of how white male teenagers grow up than we have of Puerto Rican female teenagers in New York growing up- and I think they'll be different.