Fpr all intents and purposes, Supreme Court rulings are binding. The Ohio couple who won the right to same sex marriage didn’t just affect them, not just Ohioans, but couples all across the country.
Fact patterns can be different but if the Supreme Court rules that there can be no discrimination based on race in college admissions, that would apply not only to the University of Texas but to all universities. The ruling is not likely to be that broad, however.