I wasnt, that is why I posted "But even after that, the possibility ". We now know what Germany had and what it could do or have done, that was not the case for people responsible for UK air defence in WW2. They had to assume that there could be another generation of planes, to improve on the Fw190, maybe a jet, in fact what happened was the V1 and V2 and Me 262s and Arado 234s. The Hurricane was not considered a top class interceptor after 1940, it was produced but not for the air defence of UK.D-Day was 18 months after the German disasters at Stalingrad and in North Africa. Let's not make an elephant out of a mouse, like terror the 'tip and run' attacks were sometimes described.
Hawker Hurricane was not a 'top class short range interceptor', yet it was happily made in more than 2700 copies in 1943, and almost 690 pcs in 1944.
D-Day was made possible via the aerial offensive WAllies mounted through 1943 and 1st half of 1944 (plus the earlier efforts, often futile), it would not have been possible if the WAllies were twiddling their fingers above the UK airspace.
The guys on the ground were there because Luftwaffe was trashed by the time the guys were actually there. Air cover was never in question, with RAF and USAAF displaying the many:1 superiority in numbers vs. LW, while also having the qualitative edge.
WAllies not having an all-LR force in the ETO between June of 1943 and July of 1944 at was the thing that supplied some oxygen to the Luftwaffe in 1944, lest they suffocate.