This ignores the actual reason most people go to college: They are by and large not doing it to gain knowledge for its own sake, or to become more well rounded people. They are doing it for vocational training and/or to satisfy a credential requirement/expectation from employers.

Yes, there exist (often already very privileged) students who have no career motivation for going to school and are just going for the knowledge and culture, but the vast majority go for career reasons.