MM - I would dispute some of your points in regards to the Luftwaffe. Certainly it was a very tactically minded air arm but just look at the aircraft introduced post 1941. The Arado light jet bomber - the Me262 - the Fw 190 in all it's variants and the likes of the night fighter Me410. How this equipment was used very much depended on the orders from above.
It would be wrong to suggest that the Luftwaffe wasn't effective in changing roles - look at the efforts made to stem the bomber flows into Germany. Certainly the offensive stance changed but they were still a formidable force even in late 1944.
Regards radar - examine the circumstances - and the British interest in
examples of German radar technology after the war and it becomes clear that we were probably even in terms of technology - not far ahead .