Um, no. The Americans first landed an F4U on a moving deck long before the Brits ever saw theirs. The Brits are the first to do it operationally. They developed the technique of making a sweeping left hand turn rather than a straight in approach. That let the pilot see the LSO (and the CV) as long as possible. Necessity was the mother of this invention; the Commonwealth powers didn't have a front-line carrier based fighter in 1943 and the F4U was a blessing.
VF-17 was all set to go operational when they were given the choice of being a Hellkitty squad or a land based squad. They kept their aircraft and VF-18 took their slot on CV-17. This actually made the Marines happy, as they got a top-o-the-line second generation fighter to play with rather than some outdated Navy hand-me-down. This was very, very bad for the Japanese trying to defend the Solomons.
It wasn't until the carriers started crying desperately for fighter squadrons in (I think...need to look this up in Tillman again) '44 that Marine F4Us went to sea. Marine squadrons have pretty much been sailing ever since.
Once Vought and the field guys corrected the hook design and oleo bounce issues the F4U wasn't all that hard to operate off a CV. The Marines did so occasionally even before the Corsair became a "carrier" aircraft, though generally the hooks were removed on land based aircraft. The big problem was still that wicked left wing drop near stall speed, though.
Still and all, the British get credit for showing the pencil necks in Washington what the drivers in the Pacific already knew.
By all accounts the Marines LOVED landing on the CVs to re-fuel and re-arm; it was a chance to eat Navy chow rather than their usual Spam and mud salad, and they took every opportunity while their aircraft were being serviced.
The Navy and Marine squadrons got along beautifully in the Pacific for the most part. Navy F4U squads frequently relied on Marine ground crews, and when the Marines went aboard ship with their squads and service people the Navy made them feel at home. Pretty good for an era when inter-service rivalry was an art form and the Marines were still pretty unhappy with the Navy for abandoning them on the canal.