The point is none of these things.
Though, if you find you cannot answer the question without getting into sexism and slander, that's good food for thought, and I think a valuable outcome of the thread.
But no, the point is to spark some thoughts, and hopefully some conversation, about race and identity in America, what diversity means, and what makes it valuable. Elizabeth Warren has family lore, and even DNA, but 70% of respondents to the poll agree that these things don't make her Native American in some sense.
Why not? And in what sense?
When asked by the Texas Bar Association, Warren checked the box for Native American. Is it important for the legal profession to have Native American lawyers in its ranks? In what sense?
Harvard listed Warren as a Native American on their faculty. Is it important for academia to have Native American faculty? Why?
Would it be significant if the US had a Native American president?
If it's not important that Warren checked the box for the Texas Bar Association, why shouldn't she check the box for the Presidency?
If it is important that we not consider her a Native American president, why is it not important that Harvard considered her a Native American professor?