My understanding of all this is that perhaps it didn't quite happen like that ~
-Earlier in the War, in October 1941, having successfully carried out Intruder attacks over British bomber bases for just over a year, I/NJG received an order that surprised every man in the unit - it was forthwith transferred to the Mediterranean! - A Fuhrer directive emphasising the propaganda value of enemy bombers being seen to fall over the homeland rather than distant British airfields where visual evidence of success was almost non-existant, could hardly be ignored ~ And while the withdrawl of NJG 2 from Europe may have represented a significant error, one compounded by the fact that no similar unit was to replace it in harassing British bomber bases, it was also true that the Gruppe had already suffered significant losses, with over 100 pilots killed, wounded and missing, up until that time...
Also, by the early 1944 stage of the War, Allied planners were gearing the Air War towards "Operation Overlord" and whilst USAAF daylight & Bomber Command night attacks continued, there were changes in the targets to facilitate a smooth invasion on D-Day. There were for example B-26 Marauder night attacks, briefly, and the Nachtjagd mis-identified them as British "Wellington" bombers and in turn, the Marauder aircrews mis-identified their Bf-110 attackers as Me-410's. - The Me-410B-2's were used particularly as fast photo- reconnaissance over Britain, but others were also used as schnell bombers, as too with the low, fast, bombed-up Fw-190's. -It was a busy time, as the V-1 attacks had started and this not only required heavy, medium & light bombers to hit the launch sites as soon as they were discovered, but also fighters & nightfighters to track and shoot them down as they came over the Channel.
Operation Steinbock, also known as the "Little Blitz" was a Luftwaffe offensive against London which began with 447 sorties on 21/22 January 1944. It was a battle where the Luftwaffe began using "window" against the Allies and sporadically raids were carried out on through D-Day but the Allied Nightfighter force had by then been divided into the ADGB (Air Defence of Great Britain), and the 2nd TAF (Tactical Air Force) which crossed the Channel & operated from continental airfields as they were overun. The ADGB took care of any incoming Luftwaffe.
Operation Gisela was a desperate offensive started by the Nachtjagd on the night of 3/4 March 1945 which did succeed in shooting down over 20 returning RAF bombers, but the Allied Bomber offensive against Germany continued on unabated, as gradually the Nachtjagd was worn-down by the shear weight of the Allied forces...
Cheers, hope that adds another perspective...