Shortround6
Major General
There were numerous better GA engines in existence, like Argus, Hirth, Kinner, Jacobs, DH Gipsy. The latter was cleared to 1500 hrs TBO in 1944 in wartime conditions with wartime oils and mostly used fuels well below 100 octane with competitive sfc. My favourite would be a 5- to 7-cylinder radial with turbocharging, liquid-cooling, direct injection and sleeve valves.
I am not sure what you are after here, or what real data you may have.
In 1944-46 most, if not all of these engines ran on fuel well below 100 octane including the Continentals and Lycomings.
Continental and Lycoming took over a good part of the GA market because they offered a range of decent engines at a good price with wide spread product support (parts). The use of common cylinders between some of the 4 and 6 cylinder models was nothing new and DH did the same thing with some of the Gypsy Major and Gypsy Queen models.
Some of the attributes of one engine type or another get a bit lost on most GA planes. Once you go to side by side seating a narrow engine doesn't matter much any more. View over the nose does and while the flat engines are wide the are also shorter than the inline engines ( A 6 cylinder Lycoming can be noticeably shorter than an inline 6). I would note that both Continental and Lycoming built Radial engines all the way through WW II and Continental built larger radials under license.
Hirth engines may have been nice but were rather expensive ( and mass production wasn't going to bring the cost down to be competitive) because of some of the design "features", like the ball and roller bearings on the crankshaft which meant a multi-piece crankshaft. In the 1930s with plain bearings of questionable quality at times this may have been a good feature, Post war plain bearings were much improved and the Hirth crankshaft, while elegant, wasn't needed.
During the 1950s a number of companies built supercharged GA engines fitted with reduction gears. Power per unit of weight was good but purchase and overhaul expenses were high and most were eventually replaced with larger, slower revving non-supercharged-un-geared engines.
The engine you propose, while technical interesting, would be absurdly expensive for most General aviation use.
Fuel injection is becoming much more common but turbo-charging is mostly used by planes with pressurized cabins. US regulations (i believe ?) call for pilots in un-pressurized aircraft to wear an oxygen mask above 12,000ft?
No one yet has shown if the sleeve valve was actually cost effective. Many of the problems it was supposed to solve were solved in other ways during the time it took to develop.
How much more do you spend on the engine so you can burn a bit lower grade of fuel? How many hours (gallons of fuel) before you break even?