Of course I would.
You might also ask why we should house people, or medicate people only insofar as market forces allow. Because these products have prices attached to them. Essentially, that's the whole role of prices: to ration scarce resources. If people want a house, or want medical care, or want an education, it is rightly their responsibility first to pay for these things. In a perfect world they'd be free.
Really? So you believe America would be better off if literally millions of children were unable to attend primary education? On what basis are you making such a statement? If you really do believe this is a superior method I'm going to ask you for some evidence to back up the idea that such an arrangement would lead to better outcomes than what we have today as it's an extraordinary claim.
So again is universal housing and medicine.
What are the consequences of universal advanced education? Perhaps one is that we have young people going to college for its social purpose (partying, hooking up, relaxing), sort of as a rite of passage. All on the taxpayer dole or at any rate at little immediate cost. Whereas they should be going out of a sincere desire to learn. What do we gain by sending people to places they don't care to go?
Funny you mention that, as the market still pays college graduates of basically all types significantly more than it costs them to go to college. This implies that the market thinks there are too few college grads, not too many. That means that for whatever negative things you think people go to college for, the market wants more more more and is willing to pay premium prices for it.
Does that impact your view on what might be happening in our colleges? Furthermore, can you explain a mechanism by which our savings from not spending on education will lead to a superior overall outcome and on what basis you would make that judgment?