He does care about storytelling. He's just a sloppy writer. The ideal Star Wars film can still be directed by him, but with somebody polishing the scripts, as it happened with ANH.

I like how he admits that he's 'The King of Wooden Dialogue' while receiving his AFI award :)

The irony, IMO, is that Star Wars Saga has a GREAT story. A REALLY great one. I mean, try retelling it to somebody (from I to VI, yeah), and he'll think 'No shit, that sounds awesome!'. But the mileage of that person's opinion AFTER seeing the movies may vary. And I don't mean only prequels, RotJ isn't the best execution of the ending that you could get and ANH hasn't aged well for a movie (I really consider ANH to be slow and boring, something I can't say about a lot of other old movies I love to watch).