No you're right, capitalism would not do the same thing as a sports club because the sports club has the incentive to be fair.

Though we give ourselves a pass in the name of capitalism, we could also prioritise fairness in our societies.

You must not follow sports very close. Every time a young supports signs his first big deal, people freak out and compare it to the last superstar's deal. "Young players getting too much money before they earned it" is a trope at this point.