No, that is a poor conclusion. Athletes are not distributed in the nature you are suggesting. There are profitable players who exist on unprofitable teams and there are profitable teams that exist in unprofitable athletic departments. The reverse is also true.
Honestly the biggest stumbling block for me to be in support of paying college athletes are all these details on deciding who gets paid and how much since they don't all provide uniform value. There are situations in which one person might be worth millions and their teammate might be worth absolutely nothing. That is one of the reasons why I think allowing players to profit of their name, image and likeness (NIL) rights seems like the first step. That allows the free market to better assess their value and reward them for it. Roughly half the states have already passed, are currently debating, or have recently debated laws allowing college players to profit of their NIL rights.
Honestly the biggest stumbling block for me to be in support of paying college athletes are all these details on deciding who gets paid and how much since they don't all provide uniform value. There are situations in which one person might be worth millions and their teammate might be worth absolutely nothing. That is one of the reasons why I think allowing players to profit of their name, image and likeness (NIL) rights seems like the first step. That allows the free market to better assess their value and reward them for it. Roughly half the states have already passed, are currently debating, or have recently debated laws allowing college players to profit of their NIL rights.