Let's be realistic; even a small increase in speed isn't going to make anything but a negligible difference to the Fulmar's combat capability (no one's doubting the kills made in it, but the Med was swarming with enemy aircraft). The Fulmar can be described as being the Boulton Paul Defiant of the FAA - without any derogatory connotations. Both were well designed and finely finished machines, which were easy to fly, but the concepts they were designed to were flawed in the face of modern combat scenarios. Another thing they both had in common was that there were very few of them in operation at any one time, facing overwhelmingly superior numbers of enemy aircraft. After a less than impressive innings as a day fighter (for which it was not designed - it was a bomber destroyer, not for fighter v fighter combat) The Defiant redeemed itself as a night fighter, but the fundamental problem with both types was that they were too slow, even after refitting with more powerful engines. This meant that both were always going to be replaced by better performing types. Both were also somewhat larger and heavier than their single-seat opposition.
Comparing the two, the Fulmar I was larger, heavier (9,800 lb loaded weight), had a shorter range (800 miles) and lower ceiling (26,000 ft) and was slower (280 mph, 1,200 ft/min rate of climb) than the Defiant I (8,240 lb AUW) (950 miles) (31,000 ft) (304 mph, 1,900 ft/min).
Fulmar figures from Fairey Aircraft since 1915; H.A.Taylor, Defiant figures from The Defiant File; Alec Brew.
Everything I've seen indicates a range of ~465 miles for the Defiant I with 103 gals of internal fuel however the Defiant II NF was modded in Aug 1941 to increase fuel capacity to 162 gals to increase patrol time as a NF.