The Luftwaffe's objective was to gain air superiority over the channel and southern England. They didn't get anywhere near it, so that makes it an RAF win by any method of reckoning.
On Douglas Bader, a couple of quotes (approximated)...
Bob Stanford Tuck
"I really can't stand that dreadful man!"
Sailor Malan
"If he wasn't the way he is, he wouldn't be here"
Even with air superiority I don't see how a German invasion force could have crossed the Channel in the face of determined Royal Navy opposition - and they were certainly determined. The Luftwaffe were not well equipped with torpedo bombers and their efforts against heavy RN units screening convoys in northern waters proved ineffective.
By late 1941, the Japanese on the other hand, had mastered the art.
