On the other side, elite private universities are in ever greater demand, driving higher tuitions. Higher tuition is a signal of their elite status, and such universities want to keep their tuition close to that of their competitors. They use financial aid to produce a sliding scale to collect as much money as they can from those who can afford to pay. On the other side, because of that financial aid, raising tuition an amount x may only produce an increase of income of 1/2 x, because the rest goes to increased financial aid. That factor increases the rate at which they raise tuition.
You already are subsidising it by providing loans that cannot be paid off before death.
Just need to add debt prisons and we'll be back at 18th century class society.
The issue is that if lenders looked at creditworthiness for college loans the way they do for mortgages, either the price of college would have to decline precipitously, or they would trust far fewer people with that amount of money.
The trick to fix our college system is simply allow student loans to be discharged through bankruptcy, like any other loan. It is a simple incentive shift that changes the whole dynamic of the higher learning industry. All the problems with it that we talk about nowadays will right themselves and everything falls into place with this one weird trick.
I'm not pro-student debt, but I don't see how this is sustainable for colleges either.
So, perhaps, "student loans" need to go (in the sense of all of the awful regulation (or lack thereof) around them), but not necessarily "loans to students to earn a four-year degree".
The real issues are twofold: first, student loans are underregulated and very predatory in a way that car loans and mortgages are not; second, like you said in your third point, college is way overpriced, with the cost of it going up about an order of magnitude over the past few decades with no discernable increase in quality (see the excellent Consideration On Cost Disease for more[1]).
If education was 10x cheaper and student loan rates were 3-5% a year, you wouldn't need the public to fund education - and even if you wanted to, it'd be a far easier time selling that idea than trying to convince people to fund undergraduate degrees to the tune of $100k+ per student.
[1] https://slatestarcodex.com/2017/02/09/considerations-on-cost...