The Sea Hurricane Mk IC will probably be inferior to the RAF's Mk IIC. First you have the drag and weight of the tailhook and catapult spools to contend with, much the same as the Seafire vs Spit Mk V.
Also the Sea Hurricane Mk I has the BoB-era single speed supercharged Merlin Mk III, not the two speed Merlin Mk XX as used in the RAF Mk II. Early Sea Hurricane Mk I's had Merlins running at 1030 hp but later on they were boosted to around 1300 hp, probably due to higher octane fuel being available. So I guess a lot will depend on the boost level the Sea Hurricane engine is set to.