Merlin III offered better power than DB 601A above 15000 ft, Merlin X was still better. 100 oct fuel improves the odds for Merlin family further.
But the Germans were not sticking DB 601A engines in 6200lb fighters (Spit 1 & II with normal fuel) , they were sticking them in 5500-5800lb fighters. Being 6% lighter is not much but it does help to level the playing field a bit. 100 octane doesn't do quite as much for the escort fighters as if they get sucked down to lower altitudes where the 100 octane makes a difference they are no longer protecting the bombers (they are below them and while German fighters they shoot down today cannot attack tomorrow, Spitfires below the bombers are not stopping German fighters attacking form above today. )
Escorting fighters are not in for one vs. one battle. RAF can deploy a few hundreds of bomber and a few hundreds of bombers in 1939-40
It varied practically by the month. What the RAF could do in Nov 1940 was far different (better) than what it could do Nov 1939.
British can do it too, early enough, if the doctrine calls for LR fighters. No doctrine = no LR fighters = no long runaways for the fighters packed with fuel.
British had to change their doctrine in 1936-37. You need different airfields for both bombers and fighters, you need to build another propeller factory (or two). You need more gun turrets, you need at least one different bomber, Hampdens in daylight are not going to work

, Whitley was ordered as a night bomber, they knew it could not fly in daylight and survive and that was against biplanes.
I hit something a bit interesting in the early pages of "The Spitfire story" by Alfred Price. It gives the original specification No F.7/30 1 Oct 1930 which covers pages 33-40 in appendix A, the book also gives 3 further modifications or specifications that lead to the Spitfire. It includes all sorts of stuff, like the required impact requirements for the "alighting gear" which in 1930 was vertical velocity of 10fps and the load on the alighting gear must not be more than 3 times fully loaded weight of the aircraft. And a bunch of other interesting stuff.
However as far as this discussion goes it spells out the
load to be carried. The actual weight of the aircraft is not specified, that is up to aircraft designers.
Now in the 1930 this load was 660lbs + the fuel needed for the selected engine for 1/2 hour at full throttle at ground level plus 2.0 hours at full throttle at 15,000ft. Oil was required for the same plus 50% and water (if required) was the same.
Now in 1930 with fixed pitch props and barely 500hp engines this may have made sense (or been hold over from earlier specifications)
From a design perspective the Military load is interesting as to what could be changed and what could not be changed.
item.....................................................removable..................fixed...................total
Crew.....................................................180lbs............................--.....................180lb
Oxygen..................................................15..................................8........................23
Instruments............................................1................................25.......................26
R/T apparatus.....................................46...................................6.......................52
Electrical Equipment........................41...................................17.....................58
Parachute & Belt...............................20......................................3.....................23
Armament
4 guns and C.C. gear*..................120......................................20................140
Gun sights..........................................--..........................................5.....................5
200 rounds S.A.A. *.......................145......................................--.................145
Signal pistol & Cartridges .............7.........................................1..................8
Military load........................................575...................................85...............660
*Later on it spells out the exact gun armament, 2 Vickers guns installed in the cockpit under control of the pilot with C.C. gear and either two more Vickers guns in the fuselage with C.C. gear or in the wings OR two Lewis guns in the wings (which do not heating). 2000 rounds of ammo (number in the table may have been a misprint) with links or drums as necessary. 400 rounds minimum for any gun. 400 round drums will be available for the Lewis (which never happened even 10 years later)
now over the years the Instruments could change a bit (And in section 6 (c) the instruments are listed) as could the R/T equipment and the electrical equipment.
Long winded explanation but in 1930 the 660lb load plus fuel and oil was supposed to hauled around by a RR Goshawk engine of about 600hp.
Now since several of the Prototypes built to this specification could not make 200mph at max speed actual range with 2 hours of fuel was not that great
The thing is that engine power increased the part of the Load that was NOT guns, ammo, fuel didn't change all that much and became a smaller percentage of the total weight.
I would also note that a Spitfire II was carrying about 50% more guns/ammo than the Goshawk fighters were supposed to carry. The Spitfire had nearly 2 twice the power.
The Spitfire V at around 20,000ft had roughly 20% more power for just about the same weight. It can afford to trade some climb performance for fuel.
Spitfire I & IIs could not carry a significant amount (40imp gal ?) of internal fuel without a performance penalty.
Maybe they could have figured out how hang a droppable 45-60 gal tank for climb and cross over to Holland so they would enter combat with most of their 87 gallons available for combat and the trip home but that is about all.
All the doctrine in the world cannot over come physics. Or physical plant. You need the engines/props/aerodynamics to come together with proper sized airfields (and fuel supplies and training/equipment) to support/enable the doctrine.
The British, unfortunately, did not even have a
useable doctrine for daylight bombing. They had a "doctrine". It didn't work and needed an lot of work and changes to even begin to work. Just because you can find a test range in England by flying down railroad tracks and flying low enough to read the station name on the building to fix you location does not mean you can do that in a real war in a foreign country.
You also need effective bomb sights and you might actually want to look at effective bombs.
for your long range escorts you better figure out how you are going to get them home if the weather gets bad.