From the majority's opinion
nothing prohibits universities from considering an applicant's discussion of how race affected the applicant's life, so long as that discussion is concretely tied to a quality of character or unique ability that the particular applicant can contribute to the university. Many universities have for too long wrongly concluded that the touchstone of an individual's identity is not challenges bested, skills built, or lessons learned, but the color of their skin. This Nation's constitutional history does not tolerate that choice
Sounds like schools can still look at specific circumstances of a person's life; just can't make a blanket assumption that because they look a certain way they must have had things hard or easy.
If the goal is to provide restitution to people who have been impacted by government policies, evaluating whether or not they were actually affected, and to what extent, seems reasonable to me.