the raw numbers

[Igo kyu]

Originally Posted by Furio

Respectfully, I disagree.
An eventual Luftwaffe victory couldn’t come after the end of 1940, six months before Barbarossa. At that point, United Kingdom would have been without any reasonable mean to continue fighting: no fighters for the RAF, no tanks and guns for the army, already lost in France.
A compromise would have been inevitable.
In my opinion.

You are willfully ignoring the existence of the British navy. It was the largest in the world at the time, bigger than Germany's by a much greater ratio than it was at the time of the Battle of Jutland. The Axis needed to utterly destroy Fighter Command, so that their bombers could interdict the British Navy from sinking whatever they sent across the channel. The Germans couldn't get across the Channel except by boat, and the British Navy would easily have sunk those, and any ships trying to defend them, except perhaps for the intervention of airpower.

The Bismark ran for the open sea, destroying the Hood on the way, but the Hood group was one of many searching for her, to have taken on the entire British Fleet would have been utterly suicidal. The Tirpitz lurked in fjords for the entire war, there was nothing better to do with her.

There was never any question of a surrender without an invasion. The Axis did bomb cities, as later did the allies, and in neither case was anything like a surrender forthcoming.