Quite a lot here
I think the "light fighter" concept was very tricky to implement successfully, partly because of the reason you cite here (can't reduce size or weight of a lot of militarily necessary kit, like radios) and partly due to difficulties with the smaller engines. That in turn, was in large part because most of the development effort, money, and time was applied toward the larger more powerful engines. Also partly it was because most of these designs were not very seriously pursued by the firms which built them.
There are number of reasons for the problems with designing the light fighter and their engines. P & W had the R-1535 14 cylinder radial which the US Navy rather liked during the 1930s. However nobody else liked it. 14 Cylinders was too expensive for commercial operators to buy/maintain when they could get the same (or more?) power from 9 cylinder engines. Army didn't by any either. P & W saw the handwriting on the wall and canceled further development. Which contributed to the end of the Grumman F5F. But that required two engines, more on that later. P & W only had so much design staff to go around. And they went off in several different directions including a trip to sleeve valve land which sucked up a lot of time money for very little return. With war looming a change of management not only stopped sleeve valves and all liquid cooled engines but also the R-2180 14cylinder radial, which should have been low risk. Just use 14 R-2800 cylinders instead of 18. But the aircraft designers decided to go big or go home. Or to stick with the R-1830 engine.
A lot of this was marketing and the economics of building engines in large quantities. Unfortunately in the middle of the 1930s many companies were scrabbling for each and every sale and tried offering too great a variety of different products trying to keep the doors open one more year (or one more month) and R & D was not quite what it could have been.
However even a glance at the R-1830 and R-2800 show the difference.
engine......................................R-1830..............................R-2800
Take-off...................................1200hp.............................1850hp
Military power hi.................1050hp/13,100ft .........1500hp/14,000ft
Weight.......................................1460lbs..........................2300lb
Now the R-1830 was after 5-6 years of development and the R-2800 was the first production model made. And for a twin (bomber or transport) you had 28 cylinders compared to 36.
If you tried for tri motor you had the power but you had a lot more maintenance. Yes they are not light fighters but help show why some companies were not interested in developing light fighter engine.
The CW-21 used R-1820 engines that were actually one or two generations behind what CW was capable of building. I have never seen the explanation of that. I don't know if they didn't have the production capability, R-1820s at the time were being built with 3 different crankcases and with different cylinders. I don't know if the airframe wasn't strong enough to handle the higher power?
But we do see some examples which were very or at least partly successful. And there are some reasons why this is not such a bad idea from a design perspective. Thinking seriously about reducing weight, cost of production, and improving the ease of maintenance does turn out to be quite important. Weight is the enemy of aircraft design, and this was doubly true for WW2 military aircraft.
We also have to be very careful about comparing things from different times or the same time in different countries. things changed a lot in just a few years. All of those things were very important but building planes that could not actually do the job was not good. Unfortunately sometimes both expected engine power and expected aircraft weight tended to be optimistic. Sometimes wildly so.
Wasn't the F-16 initially a "light fighter"? During WW2, as noted already in the part of the thread I read so far (up to this post) the Soviet fighters including Yak-1 / 7 / 9, LaGG-3 and La 5 were initially at least, basically light fighter concepts. They had many challenges making them work, but ultimately these designs were successful. And based on the ubiquitous Hispano 12Y engine that I know you dislike, but which seemed to be a pretty effective and important piece of kit during the war, just like the Hispano 20mm gun was (in spite of it's flaws).
There have been several attempts to reduce the size of the fighters in the jet age, sometimes successful, sometimes not so successful. And a lot of time electronics advanced more rapidly that the airframes and engines so what started as a daylight only fighter changed into an all weather fighter as electronics got smaller, lighter, smarter.
Also be very careful with jet engines. The engine in an early (but not real early) F-16 was actually about 150lbs lighter than the engines in the early F4 Phantom but gave almost 40% more power. There were a few attempts to make light fighters in the 1950s as jet engine technology made huge changes. In fact the engine in the early F-16 was within about 100lbs of the J-47-33 engine used in the last F-86 Sabre jets. Those kinds of changes opened up all kinds of possibilities. But they also require time machines to compare designs.
As far as the Soviet piston engines fighters go, I guess it really depends on the definition of a light fighter.
Yak-1..............................6382lbs normal load
Yak-7B...........................6719lb
Yak-9D..........................6871lb
Lagg-3.........................6834lb (?)
LA-5..............................7098lb
Spitfire Vb Trop........6695lb
P-40B............................7352lb
D. 520...........................5900lb
MC 202........................6460lb (max)
109G-6.........................6940lb
The Soviet fighters were only light in comparison to American fighters or British Typhoon. They were pretty much standard on the world stage of 1940-42.
The Soviet failure to develop the follow-ons to the M-105 engine greatly hindered the development of Soviet fighter aircraft.
The Mosquito was also initially a 'light' design though of course it used Merlin engines. The Westland Whirlwind, which we have discussed here many times previously, used the little Peregrine engines that got discontinued, but it was quite a good fighter and strafer with a great deal of longevity as a design, as a 1940 design still proving useful without any real upgrades well into 1942.
The Whirlwind is kind of a special case, it was wasn't really a light "Twin" in the sense that a P-38 was a twin. It was much more an 1800hp fighter that used two engines than a fighter that used a single 1800-2000hp engine. Basically the same guns and range as an Early Typhoon or Tornado. Used two 12s vs a single 24. P-38 used twin 1100hp engines to start but they stuck in enough fuel to have twice the endurance of a single seat/single engine fighter.
I'll even go to a somewhat outlier position here and note that the CW-21 was an (arguably) effective design which could have proven useful as a point defense fighter. It had rather mediocre outcomes in the Pacific but that was mainly because of the general tactical situation. You could also argue (though this too is maybe a stretch I admit) that some of the later war high tech super weapons of the Germans, like the He 162 "Salamander" jet fighter and the Me 163 "Komet" rocket fighter, were at least somewhat successful and relatively simple point-defense designs, even though they relied on sophisticated concepts.
Well the two Germans were Nickle rockets and were more akin to human guided AA missiles than actual fighters. If the bombers didn't fly pretty much over the right city they could not intercept even a few score of miles away.
The CW-21B helps illustrate the problem.
The engine was rated at 1000hp for take-off, however there were not military ratings for that engine. Max continuous was 850hp at 6,000ft and 750hp at 15,100ft.
Fuel was a max of 120 gal but was probably at 5000lbs weight for take-off, Normal gross was 4500lbs and so a lot fuel disappears. The famous climb was also subject to question
The 4,500fpm to start seems to have petered out to 3280fpm or worse. 4 minutes to 13,200ft.
as the armament seems to have been, shall we say, flexible? it was designed to hold two .50s and two .30s but there is no evidence that any were so fitted.
Claims are made for one .50 and one .30. One was tested with four .303s and some records say that the 21-Bs were delivered with two .30s.
the useful load for a 4500 gross weight was 1118lbs, If you stick in a pair of .50s with 200rpg you have about 250lbs for guns/ammo, the standard 200lbs for pilot, a bit over 50lbs for oil, and just about 100 US gallons for fuel. Oh, you want a radio? You want the extra two .30s, any other extras? like oxygen, a flare gun?
Even four small Brownings and 350rpg is just over 200lbs.
You want the engine from a Buffalo MK I? add around 160lbs. Swap the engine from a F2A-3? add another 40lbs, may need a bigger prop than the standard 9 footer. Buffalo's used either a 10'1" or a 10'3in depending make/model.
And if you decide you want armor or any fuel tank protection, even a CO2 bottle?
That is the problem with light weight fighters, you have less capability.
The P-40B had a 1737lb useful load to divide up between guns/ammo, oil/fuel (120 US gallons), pilot, armor, and equipment.
P-40Bs didn't have drop tanks or bombs as built.