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Point I am trying to make is that the P-38 got a lot more power as time went on for very little weight gain. Helped by better fuel.
If the Germans start work in 1938-40 they have limited options for engines and limited growth for existing engines.
I don't think that German mainstream V12s have had limited options for growth. Granted, a good deal of their options was stifled by material deficiencies in 1941 an later, not something that they will know 100% in 1938-40.
Basically - go with 1100 HP engines for the 'paper' stage in 1938, continue with prototypes powered by 1200-1300 HP engines in 1940, and enter service in 1942 with 1400+- HP.
Jets screw everything up. The Jumo jet engines weighed about what a two stage R-1830 did but gave a lot more thrust. Burned a lot more fuel too
Trying to figure out what a piston engine equivalent would be gets very hard.
Two-stage R-1830 was overweight and too draggy for the power it was making, so I would not try to compare it with 1st rate ww2 engines. Jumo 004 weighted as much as the 'normal' V12 of most of belligerents; granted, weight of liquid cooling and that of the prop need to be accounted for, too.
Ar 234 C doubled the number of engines, meaning that there was a lot of stretch in design. A piston-engined equivalent also does not need to carry 860+ US gals (3270L) of fuel in the internal tanks - 350 will do? - so there is a major weight save there to be had, ie. about 3000 lbs for minus 500 US gals. More than covers it for the powerplant being heavier.
He 219 needs a lot of shifting around. They could carry around 3370 liters of fuel inside the fuselage and the rear of the engine nacelles. The wing roots carried a lot of 20mm ammo.
They carried all the ammo for the belly tray guns.
you could swap fuel into the wing roots where the ammo was (wing root guns are hard as the length of the gun means the ammo has be near the mid point of the wing.
But we also run into the volume/weight thing. Unless you want to just use one large bomb (Mosquito with Cookie) you run out of volume faster than you run out of weight.
A bomb by itself is heavier per unit of volume but a bomb bay built for multiple bombs needs room to hoist them, fasten them and rig safety wires.
He 219 will not work that good as a bomber (it will be fine as a night fighter, as it was the case anyway). Something shape and size of it will, and that is what I've suggested.
When using the Mosquito as a model lets remember that it held four 500lb bombs internally for a large part of it's life, sometimes a pair of 1000lb target markers.
Keep our expectations of a small, fast twin bomber to near those levels.
Germans saw pretty quickly that small bombs don't work for anything that is not an infantryman (a reason why Ju 88 gotten the wing racks very fast). For their fast bomber, I'd suggest that bomb bay is tailored for a single bomb, up to 1800 kg/4000 lb. Bigger bombers can take over with greater bomb load.