Yes, to some extent. I don't have kids yet, but when I do I will send them to public school. I had the massive advantage of being able to afford buying a house

Yes, to some extent. I don't have kids yet, but when I do I will send them to public school. I had the massive advantage of being able to afford buying a house in a good school district. The money spent on housing tends to be directly proportional to the quality of schooling, which has a massive impact on income mobility. Even if you discount better teachers and the like, going to a school where everyone's parents are invested in their kids' futures will produce very different outcomes from where parents aren't there (working multiple jobs, in jail, whatever). So even though I am not specifically putting a boot on someone's head to keep them down, I am a willing participant in a system that effectively does that.