"So, we know one thing with almost 100% certainty: Elizabeth Warren identified herself as a minority law professor."

David Bernstein affirms:

We know something else with 90%+ certainty: (at least some) folks at Harvard were almost certainly aware that she identified as a minority law professor, though they may not have known which ethnic group she claimed to be belong to, and it may not have played any role in her hiring. 

But it gets even more interesting: once Warren joined the Harvard faculty, she dropped off the list of minority law faculty. Now that’s passing strange. When the AALS directory form came around before Warren arrived at Harvard, she was proud enough of her Native American ancestry to ask that she be listed among the minority law professors.... Once she arrived at Harvard, however, she no longer chose to be listed as a minority law professor.

If those are the facts, what should we infer? Being on the list of minority law professors served her interest in advancement, but the claim was weak and potentially embarrassing, so it was deleted... after she achieved what was the ultimate advancement (to Harvard Law School)? I'm just guessing. Do you have a more apt inference? In any event, it's a question that goes to honesty.