Even though the USN is going to hold the advantage in terms of daytime strike capability, by 1943 this was a rather narrow and limited field of carrier warfare. By the end of 1942, the USN emerged from the climactic battles of 1942 with just one operational (and even then this carrier was damaged) fleet carrier. By early 1943 this had increased to two, with the return of Saratoga, but it was not until August that the first of the Essex class were worked up and operational.
In 1942, the USN had fought a series of heroic actions and proved its mettle, but then so too had the RN in its actions in th latter half of 1942. The RN had in 1943 greatly expanded its ASW CVE fleet, which contributed materially to the most important battle of the war, the battle of the Atlantic. USN, once again lagged in this regard. Also, the brits IMO maintained a superiority in night strike capability...to the USN it was almost a novelty, and never really used for offensive operations, whereas for the british night strike (offensive) remained their principal method of air attack.
I also think that the RN held an advantage in rough weather carrier operations. No USN carrier ever operated on the Arctic run, whereas the british by the summer of 1943 were regulalry escorting the Arctic convoys with CVEs.
Britain maintained an advantage in protection of their carriers, whether that be the re-construction of the CVEs, or in their armoured flight deck carriers. The USN was, however on top of the game in terms of realizing that the best defence was in numbers of aircraft. In terms of straight up performance the USN was in front as well, though by not as much as one would expect....the seafire remained a pretty good point defnce aircraft, and the RN was using Hellcats and other LL equipment. They had the Firefly, which had no real equivalent in the US inventory. The barracuda was, IMO opinion inferior to the TBF, but did have some niche capabilities. and the RN still used large numbers of TBFs as well