Let's be clear what you're suggesting here: universities that are doing well on their current tuition, and would still be making the same money in the case of government subsidies, would spike their tuition costs by $10,000+ / year just for extra profit "because they can", despite not needing to, and screwing over everyone in the process.
I'm not saying it won't happen, I'm just saying that paints a dark picture of humanity and its almost certainly doomed future if it does and isn't corralled.
(BTW, I wonder how the European countries that offer socialized university have countered that effect?)