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The SAC sheet for the F6F-5 states max. speed as 380 mph (330 kts) at 23,400 ft while I recall AHT mentioning 417 mph for the -6 at 25,000 ft. That is too little a difference to account for much.
There's a bit of conjecture as to how fast the F6F actually was, as the -3 had problems with its pitot tubes giving bad readings and there is plenty of conflicting data.
Grumman and NAS Patuxent River testing in 1944 showed the -5 aircraft was capable of about 391 mph at 23,000 ft.
UK FAA Hellcat II data sheet for 1945 gives 392 mph at 19,500 ft as best speed with water injection (60" MAP)
There is also a TiAC test showing 406 mph for -5 at 21,600 ft with water injection and 58" MAP.
On the opposite side of the coin, FAA, Grumman and NAS Patuxent River testing in 1945 show about 385-387 mph as top speed for -5 airframes, but that could simply be degraded performance from wear and tear or due to external equipment like bomb shackles.
The -6 had the following going for it:
R-2800-34W with 2450 hp and critical alt of 26,500, compared to 2250 hp and 23,900 ft for the R-2800-10W or -18W in the -5
Four bladed Hamilton Standard prop of 13' 2", compared to the 13' 1" three bladed prop on the -5.
Minor clean up around canopy and cowl
There is also a Grumman report that indicated the XF6F-6 made 425 mph at 25,000, but as it was a prototype this might not be representative of the performance of a combat laden aircraft.