The refuelling boo-boo during Watchtower was Fletcher's worst moment. Had he reacted more aggressively that day, found and whacked that cruiser force coming down the 'Slot', I think we might have been reading of Fletcher in command of the US navy at the Marianas in 1944. Ah, the difference between an also-ran and (arguably) the greatest admiral in American history, riding on a coin flip. And people say this universe isn't random.
Unless Nagumo was there, in which case he'd have been called a genius.
In terms of Fletcher's search to the north east at Midway, this move is indicative of why he may have been the best American carrier commander of the war. Understand that Fletcher had no idea Spruance didn't have proper control of his own TF, hence no clue that Hornet was going to squander nearly its entire strength on a mission to nowhere. He cooly calculated that 4 dive bomber squadrons, TF-16 could handle the target detected. In the meantime he knew that with the previous day's storm front and air search dispositions, the only danger of an ambush came from the northeast. (If Fletcher had been spotted by a submarine on the 3rd, Nagumo's logical counter-move was to steam to the east and bushwack him from the northeast on the 4th, just like had nearly happened in the Coral Sea). So a quick search, perfectly timed to allow the searchers to return and remain the general reserve - a classic example of force optimalisation and contingency planning.
You know, I have been reading Naval History for the better part of 5 decades - and you are the first (and only) person I have ever seen espousing the idea that Fletcher was even a competent CVTF commander, let alone superior to Spruance. Pray tell, can you cite some sources for this idea that Spruance had no control of his TF, and that Fletcher was some type of genius.