Yamato and her consorts steamed most of the way to Midway, about 300 miles behind Kido Butai, so in the context of all the fuel consumed in the entire operation, it might not have been that much of an increment. Speed might be a more relevant concern. Yamato was about a knot slower than Kaga, Nagato another knot, the older battleships a couple more if they were included. A less dispersed Japanese deployment might involve more heavy cruisers being attached to the carrier force, particularly Kurita's Cruiser Division 7 (they would also have done well to save the Aleutians operation for later). Nagumo relied heavily on cruiser floatplanes for scouting, so a few more cruisers might - might - have made a difference. The battleships best suited for operating with carriers were the Kongo class. Another option would be to assign all four to Nagumo and have the main body, or part of it, screen the transports and support the landing if they got to that point.