Or keep it as a scout / pathfinder / interim and make something else to replace the Sea Hurricanes
We really need a time line here.
Hawker Nimrod. First flew June 1930 under took carrier trials in June 1932 and 6 were Issued to No 402 flight and went aboard the Courageous in July. Another 86 were built. Top speed 196mph
we have Skua which was in response to a 1934 specification and first flew in Feb 1937. But the 2nd didn't fly until May 1938. Please note that even the First prototype flew 16 months after the Hurricane and 11 months after the Spitfire.
The Skua is judged unsuitable sometime in 1937 and the order for the Fulmar comes about, but even using the F.4/34 bomber as a prototype to speed things up they know in late 1937 that production won't begin until (at least in quantity) until 1940.
We now have two side tracks, the first is Roc. With the Idea of replacing the Hawker Osprey (think 2 seat Nimrod) reconnaissance fighter somebody thought that would be good idea and ordered 136 of them in April 1937. First flight is Dec 1938. 2nd prototype flies in late 1939 as a float, because the Roc wasn't slow enough already.
2nd is the Gladiator which is ordered in 1937/38 to replace the 4 year old Nimrods which are getting a little worse for wear in addition to not have the performance wanted to catch just about anybody's recon planes or slow bombers. These are to be replaced by the all ready ordered Fulmars
The Fulmar was only ordered in 1938 to have something to tie the RN over until the two aircraft they are thinking about The high performance 2 seat recon fighter and the high performance land based fleet base (harbor) interceptor are ready.
Everybody confused yet?
Somewhere in there we get the proposed folding wing Spitfire that is not exactly a Spitfire, late 1939 or earlier. But it does not go far as existing Spitfires are valued too highly for land use (defense of England).
The Sea Hurricane doesn't seem to exist before April of 1940 (unless in vague dreams?) when a pair of Blackburn Roc floats are delivered to Hawkers with the suggestion that float equipped Hurricanes would be useful in the fjords of Norway. Norway campaign ends without the floats being fitted and a Sea Hurricane is pretty much forgotten, except perhaps for the Hurricane flying off of a carrier to used on Land in Norway and then managing to land back aboard during the evacuation, without arresting hooks.
Then comes the Idea using clapped out Hurricane Is as one shot catapult fighters for chasing away (or shooting down) convoy snoopers over the Atlantic, work starts in Nov 1940 and planes start being delivered in Jan 1941.
As has been stated by others, the Sea Hurricane and the Seafire were both, again, stop gaps for the "Ideal" fleet fighters.
Now out of Sympathy for the Fulmar, the original specification of 1938 called for a 250mph speed at 20,000ft and a 4 hour patrol endurance, plus probably about 6-8 pages of details (how big the pilot's watch should be). Before they completed the first production example it was decided that 250-255mph at low level (6-8,000ft) was more useful than that speed well above any altitude that any maritime patrol plane, torpedo bomber or dive bomber would ever fly at.
Any alterations to the 'planned program' should take what was going on when into account.
I think we can all agree that getting rid of the Roc is a good idea but it doesn't really get you much, except saving some crewmen?