Correct me if I`m wrong, but did`t the CVEs and CLs have F4F Wildcats and some older planes because their flight decks were too short for the F6F Hellcat, TBM Avenger and SB2C?
USN CVLs went into combat during WWII with Hellcats and Avengers, and I seem to recall mention of USN CVEs around D-Day using Hellcats.