Pretty sure the education system exists to serve the education system. Big Ed is an industry unto itself, you don't need the nefarious corporate America behind it to make it a money-extracting cabal. $120k in student loans and a liberal arts degree in French Literature from a big-name college? The college bears no risk if the consumer of their product cannot pay on the loan. Hard to see how that serves corporate America.
I was thinking primarily of the public education system (through high school). I think you are right that the university system is more sel-serving. However, even there I think it is mostly a servant of the neoliberal economic machine. The insane loans indenture the professional class to the banking class.