Well Fatso was involved because according to the history I read he wanted his air force to take them out. For what reason would those two generals want to stop their forces from going onto the beach head?
There was division in the Nazi ranks as to whether or not to invade Britain, or to continue to hope for a Peace Treaty with Britain.
Wiping out the Brits at Dunkirk probably would have killed any chance for a Peace Treaty. Hitler was not really interested in invading England, although von Ribbentrop was pushing for it.
Hitler felt Britain was neutralized to the point that he could turn his attention to Russia.
Of course, he forgot that the Brits would take the fight to North Africa, and that the Italians would be no match for them.
The tanks were so far ahead of the Infantry they had concerns about a potential counter attack.