I never said the Luftwaffe didn’t turn up. I said they were incapable of affecting the situation on the ground when they did. Which is accurate - they certainly shot up a fair number of troops and no doubt caused numerous casualties, which is all very unpleasant to those underneath it but didn’t affect the outcome or even the speed of the campaign one jot.
They were a great deal better at it than that photo shows (those aircraft would be very easy indeed for any competent photo-interpreter to spot). It doesn’t matter much though - they needed an airfield close to the forward edge of the battle area, and the allies were more than capable of plastering any and all such airfields if they had to, all without affecting the tactical forces in Normandy at that. Bomber Command, 8th Air Force, and the tactical forces attacking the V-1 sites could all have been retasked if necessary (and were at some points - see the fate of the Panzer Lehr or indeed General McNair). If the allies know what grid square they’re in, then they can flatten them.
All of which says lots of rude things about German intelligence!
That’s a bit like saying had the British had Vampires and Meteors in general service. The He-162 didn’t even fly until December 1944 and a handful were used in combat in April and May 1945. So if we’re bringing aircraft forward 18 months, I’ll have Bomber Command equipped with Lincolns, Fighter Command flying Furies, Vampires and Hornets and the Americans equipped with Silverplate B-29s and P-80s. Saying “the Germans could have done XXX” is meaningless without examining what the Allies could have done in response, and whether the Germans indeed had the capability to do XXX in any meaningful way.
Umm… what “lesser types of Luftwaffe ground attack aircraft”? Your putative 200 He-162s is already doubling the number of German aircraft in France, and even if the Allies had somehow magically lost all their air cover they were still well covered by light, medium and heavy AA guns throughout the Normandy bridgehead. The biggest contribution they could have made would be to reduce the level of air support available to attacking Allied troops - and even then the Bocage country limited what air support could do until Falaise, by which time it’s all too late.