If the Japanese should enjoy greater operational efficiency offensively (at least in 1941 and 1942, and maybe forever since no one else ever organized quite as flexably)
The Japanese operational flexibility on the offense was entirely predicated upon the situation developing according to plan. They wargamed the Battle of Midway before the battle and when the "American" players didn't follow the appropriate script written for them the Japanese players lost half the KB sunk. The umpires had to "refloat" Kaga so that the rest of the game could proceed. A similar situation developed during the battle when the initial raid on Midway failed to suppress the airfield/defenses and Nagumo got all twisted up between arming with bombs and arming with torpedos. The precise reasons that he never got his anti-ship strike off are probably lost in the mists of time but the
failure to use torpedo bombers as such had been "rehearsed" a couple of times already in both the DEI and the Indian Ocean when enemy ships were located unexpectedly while KB was preparing to strike a land base.
IF somehow air search efficiencies could be made more reasonable THEN the concept of a "two phase search" (an early war Japanese concept which gave them an advantage when used - and which did not when they failed to use it as at Midway) might then be worth looking at.
The 2 phase search was a later war development for both sides based on the experience gained in the early clashes of carriers. According to "Shattered Sword" the Japanese were loathe to use strike aircraft for search operations. I suspect the gist of this assertion is true. Takagi had used strike aircraft for search (successfully) at Coral Sea but his handling of the battle was widely criticized in the IJN and thus his methods were not likely to have engendered copying. In all the 1942 carrier battles the USN employed fairly large numbers of SBDs for search or armed-search (as at Santa Cruz where Zuiho was put out of action by a search plane).