Why would the RAF develop a long range air superiority fighter for which it had no need or doctrine?
Things change.
With a given level of technology the bombers can fly further than the fighters. Simple math, scale an existing shape up by 20% in 3 dimensions and the interior volume increases by 72.8%. The wing area increases by 44%, A bomber has a lot more space to put fuel, crew and so on.
British did not help themselves when they used lower technology level propellers.
The British did fit power turrets to defend the bombers sooner than anybody else. They thought they didn't need long range fighters.
Meanwhile the Germans put cannon into interceptors (so did the French, British were working on it) and the 1936-37 British bombers (with their 1938-39 turrets) ran into German 1936-37 fighters with 1939 engines (BD 601s instead of Jumo 210s) and 1939 cannon.
A lot simplified but that is how the British wound up night bombing, now if you are night bombing you don't need escort fighters. Turns out you can't hit crap by night bombing unless you have some fancy electronics.
Meanwhile the British get new propellers, engines (in part due to 100 octane fuel) gain 20-30% in power for no increase in weight and so on.
BTW you can always design/build a new fighter in less time than a new bomber because of the size so the "technology" didn't always stay the same. It also takes time to set up production lines so sometimes technology get's stuck.
Now mix in institutional inertia. AKA "doctrine" also governs things like training, force structure (how many fighters vs how many bombers are being built per month/year) and it is hard to switch doctrines even if you want to. Throw in some more "institutional inertia" in the pride of certain leaders not wanting to admit they were wrong.
All of this was going on before the summer of 1942. Summer of 1942 sees the 2 stage Merlins show up in service with another jump in the power to weight ratio of engines (powerplant weight went up but power went up even faster).
trying not to pick on the British here. The Germans bought Bf 110s as "distant" escorts for bombers, Fly ahead of the bombers and knock out/disperse interceptors before the bombers get there, needed twin engine aircraft, also didn't figure in radar.
Americans in 1939 were specifying 2000 mile range for medium bombers (800-900 mile radius?) at the same time they were ordering the first P-40s. Try and build a 2000 mile single engine fighter with a 1000-1100hp engine. Turns out the bombers didn't quite work out at that range.
Back to the British. At what point does a long range fighter become feasible from a technical standpoint? and what is meant by "long range"