There is one flaw with the "home advantage" theory.....the defeat of the French, Polish, etc airforces and the inevitable defeat of the Luftwaffe.....lot's of reasons can be sighted, "home advantage" seemed to be more "home disadvantage"? I'm sorry, but I think you are really over-simplifying it.
You can't have an airforce when the enemy's army is occupying your country.Poland and France were defeated in detail not just by airpower.As for the Luftwaffe it kept fighting till the end.