I just think that scholars are underestimating the German Navy. Without air superiority the British Navy was a sitting duck, as was proved when the Japanese sank a British ship in the Pacific with the loss of a thousand sailors, and the Bismarck sank another British battleship with another loss of a thousand sailors. That's why many scholars now say battleships are obsolete.
Chamberlain, and even Churchill, did inflict damage on the German Navy during the Norway campaign which might have affected the later German invasion of Britain. From a Wikipedia about the matter:
How effective do you think air power would have been against the 70-odd destroyers in a night attack on the barges moving at walking pace?