That was interesting and an entire new aspect to what I have read in the typical stories and legends. If true however there must be a DNA link between the Scottish/Irish and the Israelis ? Or was the Judah line almost nearly wiped out from the Levant after the Babylonian invasion ? And thus there would be divergent DNA with the lost 10 tribes (assuming they are now the dominant DNA within Israel).
OTOH, the “lost 10” have little to do with Judah or Babylon. They were taken about 100 years earlier by the Assyrians, who then moved other (to the Assyrians) troublemakers into Samaria, from other areas of the empire.
By the time of Ezra & Nehemiah's Temple reconstruction, let alone 400+ years later when Jesus met the woman at the well, a very good part of the Samaritan populace was no longer Hebrew.
Same later for Judah.
In both cases, "...many claim to be Jews, but are of the Synagogue of Satan, and do lie.”