Carrier suitability was beyond the scope of 90% of the fighter designs between 1925 and 1940.
Merely pointing out
unintended benefits or possible consequences.
Trainers can be powered by 3rd tier engines, both of German and now Czech production. The HS 12Y engines can be improved by installing a better S/C, mimicking the improvement that was done in France by S-P duo.
Problem is the timing of the programs. The Avia 534s were intended to be 1st line combat aircraft and many of them were built before the German take-over. If you want to use the H-S engines in new, better airframes (He-100s?) you have hundreds of Avia 534s sitting around airfields with no engines and you need the trainer and tug aircraft.
Using Argus, Hirth or Walter air cooled V-12s of 400-500hp is probably not going to work well and you have the cascading effect. What aircraft don't get engines while you build several hundred air cooled V-12s.
Please note that Argus, Hirth and Walter used common cylinders between many of their 4, 6, 8 and 12 cylinder engines so one V-12 may replace three 4 cylinder basic trainer engines.
I am sure that the Czech HS 12Ys, that also ended up in the IK-3 fighters, were the better than what the MS 406 gotten, despite the French having in production the better 12Ys. Spec sheets are many times skimpy on details, however 2460 ft worth of difference is similar of what Merlin III had over the DB 601A, or what V-1710-81 had over the -39, or what Merlin XII had over the Merlin III.
Well, many of the higher HP H-S engines traded altitude performance for the higher power. They swapped the 10.0 supercharger gears for 7.0 supercharger gears and gained around 120hp for take off and 50-70hp at low altidude in exchange for 1000-1500meters of FTH. A few engines used 8.3 supercharger gears. Sort of like the Merlin VIII.
Unless you are building flying boats or transports you probably want the 10.0 gear engines.
The later Allied engines used higher supercharger gears to gain altitude performance with better fuel.
There were a number of problems with the H-S engines which were only mildly papered over (if you take your glasses off) during the late 30s. Due to the basic construction the bemp was limited and the allowable rpm was limited. H-S did raise the compression on some models to suit newer fuel but they may have over done it. They went to 7.0 to 1 but that limits the amount of boost you can use, but since the H-S supercharger was really pretty crappy it may have been a good short term solution. The older engines used 5.8 compression (mostly)
Now in the very late H-S engines (like a -50) they changed the connecting rods and few other things and got the engines to run at 2500rpm. Using 40.4in of boost for take-off this gave them 1100hp and 158bmep. Also gave Piston speed of 1787fpm. However this also meant that the 1000hp rating was 3260-3300 meters (10,800ft) which was significantly lower than the DB 601, Merlin III or even the Allison C-15.
The -45 engine with the SP supercharger was rated at 920hp at 4200 meters (13780ft)
The -49 engine with SP supercharger and 11.46 gears was good for 910hp at 5250 meters ? (17,220ft) while only loosing 25hp for take-off.
Please note that these two engines used concentric yoke connecting rods and dampers despite remaining at 2400rpm.
Please note that the -31 engines used in the MS 406 was supposed to use the concentric yoke connecting rods and dampers while the 12-Ydrs engines used articulating connecting rods and no damper at the same rpm. Something other than performance on the spec sheet was going on (like engine life?/durability?)
However neither of the countries made much of a monoplane fighter with low-set cantilever wing (small series of the Avia modern fighters aside), so there was a lot to improve even before we start thinking about the retractable U/C for them.
A problem for the lower tier nations is that they need to leap frog.
Building fixed landing gear monoplanes with 2-4 mg guns was better than using biplanes but the difference was slight if you are being attacked by retracting gear monoplanes with 6-8 guns (or equivalent). You shoot down a few more attackers and surrender 4 days later?
It is an impossible situation. The rate of progress in aviation from the late 20s to the late 30s required much more industrial infrastructure.