Can you prove that?
Here's the actual NIL rule from the NCAA.. it says:
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The NCAA is committed to ensuring that its rules, and its enforcement of those rules, protect and enhance student-athlete well-being and maintain national standards for recruiting. Those goals are consistent with the NCAA’s foundational prohibitions on pay-for-play and impermissible recruiting inducements, which remain essential to collegiate athletics.
As the NCAA continues to work with Congress to adopt federal legislation to support student-athletes use of NIL, it is necessary to take specific, short-term action with respect to applicable NCAA rules. Accordingly, effective July 1, 2021, and until such time that either federal legislation or new NCAA rules are adopted, member institutions and their student-athletes should adhere to the guidance below:
1. NCAA Bylaws, including prohibitions on pay-for-play and improper recruiting inducements, remain in effect, subject to the following:
• For institutions in states without NIL laws or executive actions or with NIL laws or executive actions that have not yet taken effect, if an individual elects to engage in an NIL activity, the individual’s eligibility for intercollegiate athletics will not be impacted by application of Bylaw 12 (Amateurism and Athletics Eligibility).
• For institutions in states with NIL laws or executive actions with the force of law in effect, if an individual or member institution elects to engage in an NIL activity that is protected by law or executive order, the individual’s eligibility for and/or the membership institution’s full participation in NCAA athletics will not be impacted by application of NCAA Bylaws unless the state law is invalidated or rendered unenforceable by operation of law.
• Use of a professional services provider is also permissible for NIL activities, except as otherwise provided by a state law or executive action with the force of law that has not been invalidated or rendered unenforceable by operation of law.
2. The NCAA will continue its normal regulatory operations but will not monitor for compliance with state law.
3. Individuals should report NIL activities consistent with state law and/or institutional requirements.
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I think the key phrase is this:
• For institutions in states with NIL laws or executive actions with the force of law in effect, if an individual or member institution elects to engage in an NIL activity that is protected by law or executive order, the individual’s eligibility for and/or the membership institution’s full participation in NCAA athletics will not be impacted by application of NCAA Bylaws unless the state law is invalidated or rendered unenforceable by operation of law.
A state or the Congress could pass laws allowing an NIL contract to include something like a stipulation regarding attendance at a specific school and the NCAA could do nothing about it. Would such a law by constitutional if tested? I don't see why not.