AFAIK it wasn't possible to improve the Hurricane's performance as much as the Spitfire's because the Hurricane had a metal structure with a fabric covering which was less aerodynamic than the Spitfire's all-metal stressed-skin construction. IIRC from Leo McKinstry's Hurricane book Sidney Camm said that if he had had more time/foresight he would have designed the Hurricane as an all-metal aircraft.
The Henley and Hotspur were effectively light bomber and turret fighter versions of the Hurricane respectively and would have had the same limitations on their development as the Hurricane regardless of how powerful the engine fitted was.
The Fairey P.4/34 was of all-metal stressed-skin construction like the Spitfire and probably had more development potential than the Henley, built to the same specification. IOTL the Fairey P.4/34 was effectively the prototype of the Fairey Fulmar and the Fairey Firely was effectively a Fulmar with the Merlin engine replaced by the Griffon. I suspect that if the same was tried with a navalised Henley it would have inferior performance on the same engines to the Fulmar and Firefly.
Similarly the Boulton Paul proposed Griffon powered night fighter versions of the Defiant armed with 12 forward firing machine guns or six 20mm cannon, plus the turret or an observer in the turrets position, but it wasn't developed because the RAF had the Beaufighter and Mosquito. Again my suspicion is that an equivalent development of the Hotspur would have had inferior performance on the same engine.
The differences between the Hurri and the Spit were many. The most significant difference was the thin elliptical wing. Sir Sydney was told by the RAE that he had the best wing, according to scale wind tunnel testing, and he stuck with it through Tornado and Typhoon. The boffins then told him, in 1942, that it was all bollocks, and they figured wrong. He then designed the Tempest wing, somewhat Spit-like. Significantly, the Typhoon was all metal, and mostly monocoque, like the Spit. The Martin-Baker MB-5 still used a tube frame, with easily removed metal panels, and suffered no loss in efficiency or performance.
The Hotspur, steel-tubed, was perhaps somewhat superior to the Defiant, monocoque, but Hawker had Hurris to build.
The Fairey P.4/34 was the spitting image of the Fulmar, but was completely different, and the Fulmar was over 1000 kg heavier, being armed and naval. The Firefly was quite different , and the post-war Firefly quite different again. A naval Henley would suffer lost performance as did the Sea Hurricane, even without folding wings, which it would have to possess.
What Boulton-Paul proposed is unimportant, and not relevant, but a Henley did sport a Griffon engine with chin radiator, which goes to show.