The Polynesian connection is interesting in another way because it brings to mind Thor Heyerdahl's theories about Polynesia being populated by migration from the West, from British Columbia and Peru. The Kon Tiki expedition showed it was possible. So were the Chumash and the Polynesians working from a common earlier boat technology source? The linguistic evidence is intriguing.
According to history passed down the old way, my ancestors came from Southeast Asia. Native Americans were said to have come from the same region. They went by land while my ancestors by sea.
Thor Heyerdahl was proved completely wrong through DNA evidence; The Polynesians are from South Asia orginally and don't have anything in common genetically with any of the South American Indians.