Not even close to correct. By June 2 they were about half way from the Belgium border to Paris. On the coast, they were as far as Albertville.
I read once that Hitler became alarmed at the speed of the German advance as they approached the Channel and ordered a pause. Without that pause, the Germans might have captured the entire BEF.
4 June the ‘Dunkirk Miracle’; 14 June Paris falls.
True France was not gone on 4 June.
Only a hollow shell was left.