I'd argue you can not have a 'great' story at the disreguard for canon. If you select not to use established canon or violate it a way which is so obviouse as to construct a plot point, the story you're telling isn't great. Its bad.
Only from a trekkie point of view. Nine out of ten people who are potentially in the audience for this movie either don't know or don't take "canon" very seriously, and there are much much better measures of what makes a story "great" for most viewers/readers than how closely it hews to the minutiae of continuity.