The problem is the mix of bombs / drop tanks on the Corsair to give it the same range and payload as the Helldiver.You raise another interesting point, but one which points up a paradox. Later in the war, for a variety of reasons, the US was certainly using fighters as their main strike aircraft. Corsairs in particular were well suited for the job, Hellcats did Ok as well. Both were better in the long run than Helldivers or TBFs, at least given the reduced threat of IJN carriers and carrier aircraft... i.e. they were being used mainly to attack ground targets or poorly defended ships. Helldivers, TBFs, and Barracudas were slower and often also larger, didn't necessarily carry a lot more ordinance and were much more vulnerable to (now mostly land based) enemy fighters.
As we have discussed before on other threads, the USN concluded in 1945 that the move to fighters in the mix of aircraft in CV carrier groups had gone too far. Had the war gone on it would have been less fighters and more Helldivers with the TBM being phased out beginning in 1946. The Midways were scheduled to get a 50/50 airgroup of fighters and Helldivers.
BY 1943 the RN was planning a new generation of larger torpedo / dive bombers for use on the next generation of carriers.
By mid-1943, when it was finally reaching squadron service, the RN definitely saw the Firefly as an escort fighter along with the Corsair & Hellcat entering service at the same time. Its secondary role was then seen as a strike / recce fighter, at that point with cannon only. They only received rockets in Oct/Nov 1944 to increase their punch in the latter role. Bombs were not used on them in WW2 as there were difficulties clearing them for operational use.The RN eventually used Fireflys in the same or similar role, again for a variety of reasons (I think strike was not really the main role intended for the Firefly, but rather one of several, though it ended up being it's main role).
The other fighter type they saw the need for was the interceptor, a role to be filled by the Seafire XV planned for 1944.