But Hitler never cranked up the pressure on GB more than he had to! He shifted everything to the East instead.
This may have been true of early diplomatic efforts, but after Hitler realized the British were not going to be his Anglo-Saxon Aryan brothers, he played to win. Here are the numbers:
German Luftwaffe had 1.290 fighters in 1940, of which 1.107 were committed to Battle of Britain.
German Luftwaffe had 1.558 bombers in 1940, of which 1.380 were commited to Battle of Britain.
Similar percentages of other planes (dive-bombers, recon-planes) committed to Battle of Britain.
Overall, Germany committed nearly 90% of Luftwaffe for Battle of Britain. In other words, Hitler threw everything he had at Churchill. Unfortunately for him, it did not work. But it was not for lack of trying.
To suggest that Hitler played with kiddy-gloves is demeaning to the sacrifices of all the British, Polish, and yes German pilots who fought in the Battle of Britain.
Moreover, it was Göring's incompetence and the bravery of the small boat captains that led to the mostly successful British evacuation at Dunkirk, not Hitler's lack of resolve to wipe out the British. Also Hitler only shifted his divisions primarily to the Ostfront after it became clear that Sealion was no longer feasible.
And remember, for the rest of the war, Hitler launched V-1 and V-2s at the British as fast as he could produce them. These were of no strategic value, but Hitler prefered to launch them at London instead of Moscow. He was not happy with his loss.
Shall we also talk of Hitler's not trying to win against the British in North Africa, Italy, and France?