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. 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. The early P-47 didn't have the range to escort bombers to Berlin, but starting from the D-25 model it could compare to the P-51D in terms of range when carrying external fuel, although still less. The design of F6F can be looked at as garbage, having the worst performance among all the R-2800-powered fighters.
P-47 offered many advantages that the P-51 didn't have, namely strong firepower and protection for the pilot. By September 1944, when the 150 octane fuel was introduced, P-47 was faster at most altitudes, and climbs better up high. In comparison to the Bf 109 G-14 and Fw 190 A-8, it is faster at all altitudes aside from sea level. It also has the advantage of rate of roll, according to Robert S. Johnson it could out-roll the Fw 190 (I would trust him on that, but in general the Fw 190 rolls better than the P-47. Robert S. Johnson's strength was above average, and this meant his plane rolled better at high speed, where stick force is a serious issue for most pilots but not him). 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). There are no accounts of P-47s breaking up in flight due to excessive aerodynamic forces. If I will ever fly a mission at 25000ft, I will choose the P-47 if given the options of P-47, Tempest, P-51D and Spitfire XIV.