So you are suggesting, it is the ends of the magnet that is responsible for the strengh of the magnet and by short circuiting it, we keep the end's field strong => strong magnet. Without the strong fields from the N pole, the domains in the magnet will weaken because there isn't anything to force it in place.
But one cause of concern is my looking at the magnet this way, we discount the sides. What happens if it's not rectangular but square? Than you would need 4 around it. That would be ideal even for a rectangular magnet woulnd't it?