The F6F exists only because the F4U initially was a failure. It couldn't land on a carrier until the British devised ways to do so.
Not true x2.
If the F4U was able to land on a carrier the moment it entered service, the Navy would've rejected the Hellcat, since the F4U was not only superior in every aspect of dogfighting performance (speed, climb, turn and roll) but also was more suited for dive bombing.
Your opinion.
By September 1944, when the 150 octane fuel was introduced, P-47 was faster at most altitudes, and climbs better up high.
Not true.
Not a single flight manual mentioned the g limit for P-47s, which implies it is so great that it is impossible to reach (indeed, at sea level it has a top IAS speed of three times the stall speed, meaning it can pull 9g, any higher it will stall while attempting to do so).
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If I am given the option I'll fly the F6F.
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Per British wartime data, ultimate G load for P-47 was 12G, same as P-51. The garbage aircraft that you would fly was rated at 13.5 G.