“Everything I’ve read suggests that Harvard’s gonna lose.”
That’s the general consensus based upon the questioning by the justices during oral argument. However, Roberts is the wild card. The Chief Justice can explain why a law, policy, or regulation is unconstitutional and then rule in it’s favor regardless of his own finding. He tends to favor the bureaucracy if there is a constitutional question regarding their right to implement a policy before the Court.
True story: About 30 years ago I was dating a woman who was a Radcliffe grad. She told me that a classmate of hers who was a Vice Chancellor of Admissions at Harvard told her that were it not for Harvard’s “complicated” admissions policies every Freshman class would consist entirely of Asians and Jews.