How much different would the Battle of Midway be if the USS Saratoga was able to participate.
The POD being she wasn't torpedoed by Japanese submarine I6 while heading towards a rendezvous with USS Enterprise in January 1942.
Would it participate in the Battle of the Corral Sea?
1) If yes, with better fighter cover Lexington might perhaps not have been sunk. Or greater effect achieved in attack on Shokaku and Zuikaku. If Japan lost, say, not only Shoho, but also Shokaku with Zuikaku badly damaged and lower casualties caused to US carriers, would Yamamoto still throw everything into a similar operation at Midway?
2) If not, there is a hitch. If I remember correctly, the Saratoga airplanes and crews stationed in Hawaii were used to reinforce Yorktown after Corral Sea. So it's a question if in the ATL Saratoga and Yorktown would have enough airplanes and crew to operate at Midway both.
3) If they had enough planes and crews, it would probably join the task force with Yorktown and her fighter bombers operating along with Yorktown's planes could finish of Hiryu in the first round (let's keep in mind that Yorktown's SBDs destroyed Soryu, while flying only in half the numbers (I think 17) because the other half was used earlier that day for reconnaissance. So with Saratoga present, there would be another 30-35 SBDs attacking the poor little Hiryu. Bombers from Enterprise would destroy Akagi and Kaga as in OTL and SBDs from Hornet would still be desperately lost. Hiryu at least incapacitated if not destroyed in the first wave would prevent it sending the two attacks that crippled Yorktown.
In football terms, the score would be 4:0 instead of 4:1.
Or possibly a nervous rookie radio operator from Saratoga would by mistake send a wireless detected by the Japanese sending a wave destroying all four US carriers

Who knows...