When a company signs a deal with UK as the "official meat/car/jewelry/swimming pool/etc" that isn't a negotiated and executed deal that contains an exclusivity provision?
So UK could sign the same deal with several competitors in their field?
You didn’t assert that UK was restricted from seeking additional deals.
You asserted that an exclusivity deal that UK might enter into with a company like Critchfield meats would also prevent UK’s student athletes from signing any deals with one of Critchfield’s competitors. That’s simply not true and frankly a bit absurd to suggest.
Unless all of the athletes also signed UK’s deal with Critchfield, the student athletes are not party to UK’s agreement with Critchfield and cannot be bound by its terms. That’s a pretty basic concept in contracting.