It was Admiral Chester Nimitz who called for Merlin engined fighters to be tested for USN carrier suitability.
You think P-40F is comparable to a Sea Hurricane? It then becomes a mystery why they benched the Hurricane (no 'Sea') for front line fighter duties in the MTO already by the time of Pedestal.
I also doubt that Spruance, Nimitz or King would want Hurricanes when they were shot down in droves over Singapore and Ceylon and were doing so dismally in Burma.
In fact, I'm going to go out on a limb and say that there was nobody in the world who thought a Hurricane was the equivalent of a P-40F in 1942.
P-40F had the same engine as a Hurricane II, but it was 50-70 mph faster than a Tropicalized Hurricane (depending on which P-40F test you want to go by). The P-40F was In Demand in 1942. Hurricane of any kind was not, it was just something they had.
"Comparable type" to a P-40F would be the Spitfire V, and the Seafire would be flying from carriers very shortly by 1942. The Marines would get F4Us starting in Feb 1943 and the Army already had P-40s (including P-40Fs) and P-38s in Theater, as well as some P-39s which soon went the way of the Hurricane. As we know the Corsair was far superior as a carrier aircraft to either the Sea Hurricane or the (much better but still troubled) Seafire.
The 175 nm strike radius of an F4F would not be improved by an aircraft with half the range. Fortunately for the USN, they did in fact work out external fuel tanks for the F4F, adding an extra 116 gallons of fuel.
What does the RAF Hurricane's performance compared to other land based fighters have to do with it's carrier suitability? Was the RAF or USAAC clamoring for the F4F-4? In any event the Hurricane II was being used for front line duties in mid 1942, especially as a strike aircraft.
The SH1B could easily outclimb the F4F-4 and as I demonstrated the H2C/SH2C carrying two 44IG drop tanks using normal climb power could outclimb a 'clean'F4F-4 using full military power. The SH2A/B/C was superior to the F4F-4 in flying qualities in every respect, and was faster at all altitudes.
What does a tropicalized Hurricane have to do with the Sea Hurricane? RAF testing of the P40F showed a maximum speed of 354mph at 20400ft vs 342mph for a H2A at 22K ft and 327mph for a H2C.
The clean combat radius of the F4F-4 was 105nm according to it's SAC data.
The SH1B data card gives it's range with 2 x 45IG drop tanks (1100 miles tanks dropped) and the SH2C would be about 10% less. that would equate to a combat radius of ~250-300nm.