I am sorry but I believe this to be an often repeated error. The British were more than happy with the 4 x 0.5 guns considering them (correctly in most peoples view) to be considerably more potent than the 8 x LMG which were the normal armament in the RAF fighters of the time.The change from four guns to six was the result of the G-36B version contact with the British for their Martlet II.
A number of years ago I spent a day in the National Archives looking at everything I could find on the Wildcat and could find no negative comments re the 4 x 0.5 and no wish to increase the firepower was even mentioned. There was a reference to the French contract as they had requested a version to be armed with 6 x 7.5mm LMG but the British were not interested for the reason previously stated.
Interestingly there were negative comments about the mounting of the additional two guns in the F4F-4 when they received them, as we found them unreliable.
