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It's a mistake to think the Corsair did everything better than the Hellcat. Each was a superbly designed aircraft in its own right. The Japanese called them the "Terrible Twins."
Indeed, being designed to meet the same Navy specifications and requirements, the similarities between the two are startling. Range, firepower, strike load, durability, and climb rate were well nigh identical. The Corsair possessed a greater top speed and roll rate, but the Hellcat had its own set of superior assets as well.
The Hellcat's carrier operation capabilities were, according to Hamilton McWhorter and many other Navy pilots, far superior to those of the Corsair. Visibility over the nose was superior to almost any U.S. fighter extant, with the possible exception of the P-38. The Hellcat also possessed better all round visibility. The cowling of the nose dropped away from the cockpit with an 8 degree downward angle, enhancing tracking of targets and offering superior visibility during carrier landings.
In comparisons with other U.S. fighters of the time, service pilots rated the Hellcat's ailerons the best at speeds around 100 knots. Attitude and longitudinal control in the landing circuit were superb, just what the Navy desired in a carrier-based fighter.
The Hellcat also possessed some of the bast stall characteristics, and one of lowest stall speeds of any fighter of the war. In addition, handling characteristics were extremely honest and predictable. As one pilot stated, a pilot could make abrupt and positive maneuvers, even at high speed.
Francis Dean compared the turning rates of U.S. fighters in his book "America's Hundred Thousand." Using the turning circle of the Wildcat as his baseline figure, and without the use of flaps, the Hellcat's turning circle was rated at 138% of the Wildcat's, while the F4U-1D was rated at 212% . While use of the Corsair's flaps may have closed the gap somewhat, it had a lot of ground to make up, and once locked into a turning fight with speeds equal and both fighters having their flaps deployed, it is doubtful that the Corsair would have outturned the Hellcat.
Lastly, the Hellcat possessed a slight speed advantage over the Corsair in a dive: 449mph IAS for the Hellcat versus 443mph IAS for the Corsair.
Regards, Shuckins