I don't care that Warren is a Democrat, as far as I'm concerned this is a nothing case, less than a tempest in a teacup.
As far as I'm concerned, if .gov or any organization receiving taxpayer funds is giving special consideration to people based on ethnicity - thereby discriminating against others based on THEIR ethnicity - I see nothing wrong if someone manipulates the system to foil institutional discrimination directed at them.
(When I was in college, a lot of students listed "Native American" as their "race" on various enrollment and financial aid forms. Anecdotal evidence was that it made a difference.)