My problem with all this is that superprops actually got built. How would my superprop be different from any of the Hawker Furies, Supermarine Spitefuls, North American P51Hs, Republic P72s, and the various souped up Vought Corsairs, including the one with the R4360? Grumman Bearcats could be fun if you can install a bigger engine. Canard pushers like the
Kyūshū J7W Shinden could be interesting, but they built two of them!
The elephant in the room is jet fighters. The superprops wound up not mattering to anybody. What happens if jet technology does not happen?
The USA develops the R4360, with turbochargers. Great Britain works on the Bristol Centaurus and the Rolls Royce Crecy, and they add two speed superchargers to the Napier Sabres. Rolls Royce did not go nuts souping up Griffons.
Another elephant in the room is top speed. In the absence of jet engines, the top speed of piston engined aircraft is limited by their propellers to around 530mph (850kph). The newer, bigger engines will improve acceleration and climb rates, but they will asymtotically approach that maximum propeller speed. Now, bombers become interesting. We make the bombers more powerful, and
they asymtotically approach 530mph. If you are in a fighter intercepting bombers, you are closing slowly on something with defensive armament. Effective WWII interception tactics took advantage of the bombers' much lower top speeds. If the bombers approach at civilized altitudes, fighters can climb up above them and make diving attacks. If the bombers come in at high altitude, the fighters cannot get way up above them.
This brings in some technical issues. Your superprop fighters are going to get shot at and hit by 20mm cannons at the very least. They require very heavy frontal armour. Radial engines at the front of the aircraft may not be functional. Your 5500kg mass limit is just not functional. Weapons and sighting systems that are effective at long range will be useful -- 57 or 75mm long barrelled cannons anyone? How about a superprop Bolton Paul Defiant? Flying air superiority over battlefields at lower altitudes, fighters will not have speed advantages. WWII hit and run tactics will not work. Acceleration, climb and manoeuverability will be the critical characteristics of your superprops. Perhaps the requirements for interception and air superiority are so different that both cannot be met by a functional fighter aircraft.
Bomber technology will be affected too. Precision bombing from 40,000 to 50,000ft is not feasible if you are being attacked by flak and fighters. Everybody will develop remote, steerable bombs like the Fritz_X. There will be a battle to mess up the radio communications with the bombs. Do the superprop interceptors need a guy in the back seat operating electronics? Can a superprop fighter fly below the bombers and lay a smokescreen so that the bomb aimers cannot see their targets?
How about a remote controlled aircraft controlled from a nearby two-seat interceptor? It flies into the bomber formation and it explodes, taking a couple of bombers with it.