Occupied is not the same as conquered, and they had a weak grasp of those places, with life going on as normal in much of France. Even if they had conquered those places, how is does this mean the world was on the brink of a collapse of democracy?
Of course that happened in some places but in much of France the occupation was extremely light handed to the point where peoples lives were barely affected. It wasn’t total domination. You are making stuff up. There is more to France than the north
EDIT: why the downvotes?