Basing laws off laws of another country isn't national continuity. The British didn't just accept the Declaration of Independence and remove their agents from the US. The CCP wasn't formally recognized by the imperial government as the new government of China. There's no continuity of government in either case.
"Benedict Richard O'Gorman Anderson (August 26, 1936 – December 13, 2015) was an Anglo-Irish political scientist and historian who lived and taught in the United States." ~ (guess the source)
With respect, between the work of a Cornell professor and an internet rando, I'm going to defer to the professor on the topic the professor wrote on.