Wrong.
That long screed shows a desperate attempt to turn facts and evidence upside down to prove a point that is wrong. Trying to tie Vattel in with every used of the term ‘law of nations’ was and is laughable. Founders used a number of sources, Blackstone for law, and many others for their ideas. Vattel was and is of almost no importance.
Ah, but he WAS cited in a few places, including the infamous worst decision ever, Dred Scott.