There was even a United States senator who claimed to be Native American, was awarded academic positions based on that, but a DNA test proved her native ancestry to be so minuscule as to not even be measurable.
https://www.bostonglobe.com/news/nation/2018/09/01/did-claim...
My guess is if she marked Native American on any application form or was considered by the insitution to be Native American, it had an impact.