I have no opinion one way or the other, but there are studies showing that homeschoolers participating in a structured curriculum do better on standardized tests than those educated in traditional school settings. I have known people who homeschooled their children, and those children did attend and graduate from college. My kids went to a private Christian school from junior high through senior high. Neither went to college, but both are in good jobs.
At some point people need to decide for themselves whether to pursue higher education. I was brought up in a home that did not promote higher education, and married right out of high school. I didn't go to college until I was in my 30s. It was my choice to go at that time.
As long as the Duggars aren't living on welfare and not teaching their kids that living on the dole is the way to go, I don't care whether they go to college or not. Their choices don't affect me.