Not really true. You have to separate NIL into two different categories: NIL Collective and Individual NIL. Collective money (like SCar pays all wbb players 25k each) is part of the school. Oh, it might have a nominal head that is not officially an AD employee, but its expenditure is overseen by the school.NIL is separate and apart from the Athletic Departments at the schools. The school doesn't offer it.
Individual NIL deals are contracted agreements between the players and a third party like Bose or a shoe company or advertisers on a player's website.. No, the AD is not a party to the agreement and the money never passes through its hands. However, the school can provide an advisor who helps player find NIL deals.