But once an entitlement exists, it's almost impossible to take it away. As Reagan said, "The nearest thing to eternal life we will ever see on this Earth is a government program". So it just becomes a permanent structural deficiency of our society.
Increasing price (outside of aid) isn't actually the opposite of the effect aid is intended to have -- subsidies always increase the cost before subsidy; the intent is that they will decrease the cost after subsidy for those receiving the subsidy since, under most reasonable supply/demand conditions, the amount of increase will be less than the amount of the subsidy.
And this would probably work fine for grants taken alone, but we can't really isolate the impacts.
Loans, however, aren't subsidies, they are cost-deferment measures. They aren't meant to make college more affordable (in terms of lower net cost after the policy) for those who get them, they are meant to allow people who could not afford college up-front but who would benefit economically from college so that college would be affordable if it could be paid for on a deferred basis can afford it.
College loans, however, are problematic because humans (in general, and those younger than mid-20s in particular) tend to be irrational and to -- as has, I believe, been shown in numerous studies -- overly discount deferred costs, so that loans have the effect of subsidies on near-term costs while at the same time just being deferred costs. So they increase the pre-policy cost without actually being a subsidy to those who qualify for them.
They are subsidies on the cost of borrowing money, but not on tuition (except at a very small ratio); but they act (in terms of effect on tuition prices, for the reasons discussed in my previous post) like a much larger direct tuition subsidy. because of this, it is much more likely that loan subsidies have a perverse effect on affordability than grants.
At least for those where money is currently the hindering factor you actually can. Financing students for example.
You also reduce the feedback loop to which you alluded. There are lots of factors where it might not be that obvious that it exists. Stress factors like poverty can greatly reduce mental capabilities for instance.
And in the end you make the lives of the poor people suck less with that money.