No.
Tuition went up to compensate for the removal of state subsidizing tuition. Almost 1:1. In fact, with the removal of state support, we're merely seeing the true costs of school for the first time.
Loans got nutty because of unnecessary privatization and deregulation. But rent seeking, so it was inevitable, right?
Once tuitions were nutty, parents demanded value for their dollar, begatting grade inflation and transmuting dorms into resort hotels, fueling continued rising costs.
Source: Worked in higher ed. This is common knowledge.
(I don't know enough to explain the textbook racket. Collusion?)
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mortgage interest deductions have a similarly terrible effect on housing...
No.
Scarcity caused by NIMBY land use policy is driving up housing costs. The fix is aggressive upzoning.
Source: Help friends who work on affordable housing policy. This is common knowledge.
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In conclusion, yes, simplistic Freedom Markets (tm) explanations are seductive. But they're also mostly wrong. Tuition and loans went bonkers when government pulled out of the business, allowing the predators to take over.