Sorry for the delay answering but I was thinking about this recently.Is there any reason a purpose designed Sea Hurricane couldn't serve as a fighter/divebomber for the RN in 1940? I realise the Air ministry would probably have to receive a 15" present from the Admiralty first but Gloster could have built them instead of the Sea Gladiators. Range is an issue but there was room for larger fuel tanks.
I wonder how an aircraft carrier with every plane being both fighter capable and strike capable would do in ww2. For the British who often had numerical inferiority in plane numbers would multirole carrier planes be an option in scenarios where the main role of the carrier is fleet defense.
IE the carrier is expecting major opposition from land based air on a Malta convoy but needs to retain strike capability in case the Italian fleet sorties but this is deemed unlikely. There are sufficient sea hurricanes available to unload all torpedo bombers and replace them with sea hurricanes.