Glider
Major
This is a claim that is often made but as far as I can tell never verified. It also lacked logic.Yes, it's true that the F4F-4 got two more guns due to British requests. Combined with the folding wing, performance degraded due to greater weight for no HP increase. .
The FAA had experience of using the Wildcat in combat from Late 1940 with the first kill happening on Christmas day 1940 and it was recognised from the start that 4 x 0.5 were far superior to the standard 8 x LMG used in the RAF and FAA. The 8 x LMG were more than good enough to deal with the Italian forces so there was no need to up the firepower from 4 to 6 HMG. If the UK forces had asked for an increase in firepower then its more likely that they would have asked for 2 x 20mm as the UK already decided to go for the 20mm as the standard fighter weapons. That would probably have been feasible as the paired 0.5 were close to each other (and an interesting thought).
I would expect that the RN would have asked for the folding wings after all they were supposed to fly from carriers and no doubt the USN would have wanted it for their carriers. Its a bit surprising that they didn't have folding wings from the start.
The only nation outside the USN was the French as they asked for their Wildcats to be armed with 6 x 7.5.