For privacy reasons and concerns about how the DNA would be used, I have no interest at all in having DNA testing done.
About 30 years ago a distant family member did a family tree, back before the internet, on my maternal grandfather's side. It went back about 300 years in Canadian (Nova Scotia) History. Other than that I know when my maternal grandmother's family came to Canada. Dad's parents were both immigrants. I do not need to know more.
I am more concerned about the actions of people today than laying claims on people from the past.