It's a little early to be piecing together the details and impact. The Post is being more cautious with their initial full story in terms of definitive statements.
But, as it stands, the hed of "Supreme Court restricts use of race in college admissions" directly conflicts with Sotomayor's dissent quote in graf 7: " ... It holds that race can no longer be used in a limited way in college admissions to achieve such critical benefits," which more closely matches the breaking-news stream hed.
I'm not saying there's no reason for concern; rather, the things to be concerned about have yet to come into specific relief.