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Ju 88 S-3 was basicly an cleaned up version with Jumo 213. Only a few were produced, and I think they were used mainly as pathfinders. According to ww2.dk, in late 1944 I. II./LG1 operated 50 to 60 of these aircraft in total. Some were also used by KG30 and KG66. But here you can indeed apply the saying "too few, too late".
Also, the unbuilt Ju 388 K-2 would have had pair of Jumo 222s.
The engine was presumably the Jumo 213A as the Jumo 213E with two stage super charger was not yet available? I am curious to know if the Jumo 213 engined used on the Ju 88S2 had any of the power boosting functions used on the FW 190D9. I beleive a few Ju 88S3 with the turbo charged BMW 801TQ with turbo charger were also built.
Me-210C.propose an airframe that would extract every possible gain in performance from 'bread butter' engines
A level bomber version of the Ju-88A can remain in production powered by Jumo 211F engines but the dive bomber and night fighter roles should be given to the higher performance Me-210C.light bomber is not what the Ju-88 was, the successor need to be at least as capable in that role
Me-210C carried more internal fuel, had superior armor protection, superior rear defense (i.e. remote barbettes) and could bomb more accurately. Mosquito had a larger bomb bay. The aircraft had similiar speed when powered by engines of similiar hp.
The Mosquito was superior in its most common WWII role - high altitude path finder for RAF Bomber Command. The Me-210C was superior as a long range precision bomber. 1943 Germany needs a long range precision bomber a lot more then they need a path finder aircraft.
I think top speeds are not too important when compare bomber speed. How was economical or maximum cruise speeds compare? bombers did not travel at top speeds!!
I don't know where you found this but the english wiki has a cruise speed of 265mpg for the B.IV.Ok, the top speed of the Me 210 was only slightly more than the maximum cruise speed of a Mosquito B.IV with similar horsepower (c.1400hp).
(Using figures from Wiki, which can be riski).