I think you have the implication backwards. Priviledge does lead to valuing education. But lack of priviledge can also lead to valuing education. For example,

I think you have the implication backwards. Priviledge does lead to valuing education. But lack of priviledge can also lead to valuing education. For example, the janitor dad who wants a "better life" for their kid, and pays for their college education by working overtime. Or the single mother who puts her child through school working two jobs as a secretary and waitress. These are generic, but just look around. There are countless examples I'm sure from your own life. So the problem lies not with privilege or lack thereof of parents. It's the fact that in this country good education is scarce. Education is a public good and should ideally not be a scarce resource.