There are rich people who don’t pay for their kids college.
One of the wealthiest families that I went to high school with set the expectation that they were not paying for their children’s college. They would provide support for their living expenses, so not 100 percent cut off, but both of them are quite successful. One became a medical doctor, the other a successful architect.
So with out them being able to get scholarships, they wouldn’t have had the opportunity to go to college in the same way.