No they shouldn't when loans are guaranteed to cover your tuition and for the most part you are guaranteed a loan prices soar because there is no incentive to lower the costs, the uni's make more money, and banks and the government makes more money, and student are stuck with the bill.

This doesn't mean that governments shouldn't fund publicly accessible higher education, it just means that they need to do it in a smarter way.

Picking up the cheque (permanently or temporarily) always results in inflation, we see this in health care, we see this in housing, we see this in education.