Removing federal loans just means private institutions will make up some the difference. The problem is that private loans will demand a higher rate (because they're looking to make a profit).
The problem is that Ron's looking at this from the student's perspective; but that's not the typical case. Most students are paying for college with help from their parents (indeed, most middle-class parents start college funds for their children earlier and earlier). Even with help from mom & dad loans are usually required.
It's not like schools are just making up tuition costs, they have bills to pay; and the price isn't just set wherever they feel like setting it; they have a budget, of which tuition and fees is only one source of income among many. If the demand suddenly decreases that likely means costs per student will increase (as many of the fixed costs are now carried by a smaller population).