How Could the Assyrian Exile Have Shaped Later European Populations?

I've been reading different historical and biblical interpretations, and one idea really caught my attention: How did the Assyrian exile supposedly influence the origins of the white race? Some discussions including themes found in Arlo’s Soul Talk # 4: Life So Far suggest long-term migration patterns that eventually tie the exiled tribes to parts of Europe. But what evidence actually supports this theory? Is it historical, archaeological, or purely speculative?