Picture a star point guard playing in front of seventy thousand fans, while his coach banks a two-million-dollar salary and the school sells his jersey. That player can't afford to fix his broken tooth. That's the concrete reality, and your argument actually lands squarely on my side. You just described the exploitation perfectly: full-time hours, no pay, catastrophic injury risk, and universities pocketing the profits.
So let's define the framework clearly. If someone generates revenue through their labor, and the institution takes that revenue, that's compensation for work. A scholarship is tuition, not wages. It doesn't cover rent, food, or medical bills. Since you've already conceded the system is unfair, the only real question is how to pay them. Let the market set it: salary caps, trust funds, endorsements. That's not radical. That's just basic fairness. You're arguing against the status quo. So am I. We're on the same side here.