The rather thick fuselage of the F6F can be attributed to Grumman's design philosophy and comments made by BuAer's Lt Cdr A. M. Jackson, who directed the manufacturer to raise the height of the cockpit even further than what was seen on the F4F. His goal (along with Grumman's) was to increase pilot visibility, where he's famously quoted as saying "you can't hit 'em if you can't see 'em". There was never a need to use the spare fuselage space for additional fuel because the airplane more than met the design criteria for range set forth by the US Navy.
Thickness of fuselage spanned in two directions - upwards and downwards. Requirement for visibility had nothing to do with additional thickness of fuselage under the engine and aft - something that was not present on F4U, F4F or on F8F.