How do you figure that the RAF would have less fighters? Without the nazis attacking them, their bases or the industry that MAKES the planes then how on earth would they somehow have less? That makes no sense.
And yes, the navy can be out of range of the nazi planes but still within enough range to prevent an invasion. Leave them further north, or mor towards Ireland and they are effectively out of range of the enemy attacks, but can easily (and in short time) sail into the channel to intercept an invasion force or cut off its supply chain.
If memory serves the nazis managed to sink a half a dozen or so british destroyers during the Dunkirk evacuation, destroyers that were stationary at the time. There were signficantly more than a half dozen involved in the operation too. So while having all the advantages the actual effectiveness of the air attacks was very limited. Now, if the ships are at sea, without the need to remain in place and without the need to protect men stranded on shore and you are getting a very different situation altogether.
And how do you find and sink these ships easily? How much fuel will you waste while your planes fly in circles over the expanse of the channel looking for ships to attack? How far would your planes be spread out in this search? And how would you stop the RAF from attacking these spread out planes with greater local numbers?
The RAF did very well against the nazis when they attacked the mainland, what evidence do you have that shows that this trend would suddenly be reversed if the battles were to take place further out?
And you may have "argued" this on other sites but that is totally meaningless. You must present your arguments here for people to challenge because so far what little you have said does not support your claim.
You don't belong to armed forces do you? you would know that the English airforce was not rested as you think,The Germans had superiority 2:1 i fighters,and the Luftwaffe bombers were near 2500;it makes a hell of a difference to have fuel for 10 minutes over England and leave the Bombers unprotected and the RAF fighters to fly at will over homeground with tankers full therefore unlimited manoevres and the Germans severely restricted due to fuel shortage;so again the 2500 bombers,adequately protected by fighters and manoevring as much as the English over the channel; Of course some of them both were(not many) for overhaul or repairs but they would return to flight condition soon, as the Germans proved that they repaired machines in great rapidity in Europe and in Africa later.
Crete was a naval disaster for the British caused by Luftwaffe and they didn't hit there only destroyers,even the battleship Warspite was seriously hit and a number od cruisers hit or sunk.No navy can stand such pounding,and there the Luftwaffe was represented by the 8th Luftcorps of Volfram von Richthoffen,in the Channel...there would be a lot more.
That is mainly in a nutshell...
Over England the germans would have their on aifields on the ground every army would do that as routine for supply purposes mainly and for defence,plus the antiaircraft artillery of the army units.
As for evidence:war is not a court of law where evidence is provided,it is surmised from assessment and results ex-post facto.That is how knowledge is accumulated and taught in schools of war were students are seasoned officers who have held command.However once on the English beaches,the anti-aircraft defence would prove leathal and enhence greatly
the effectiveness of the Luftwaffe;an example:study the retreat(crossing) of the German army from Sicily to mainland Italy by the general of Panzertruppen Hube under a tremendous anti-aircraft fire barrier that prevented the American and British bombers to disrupt the crossing(summer 1943).
For operation 'Hermes' read mainly the archives of the Vehrmacht "The Years of War,vol VIII(Fom Serbien bis Creta-From Serbia to Crete) at my time they were in Alexandria, Washington,but I heard they were transferred back to Germany and extracts were published frequently,so many European books exist on the subject.