https://en.wikipedia.org/wiki/Commonwealth_System_of_Higher_...; "Legally, the universities remain separate and private entities, operating under their own charters, governed by independent boards of trustees, and with assets under their own ownership and control, thereby retaining much of the freedom and individuality of private institutions, both administratively and academically."
There is no "right of freedom speech" there. They're not a government actor to which the First Amendment applies.
(Even if you work for the government, you can be fired for telling your boss to fuck off, or putting up "Muslims are evil" comics on your cubicle wall. It's not an unlimited right even there; https://en.wikipedia.org/wiki/Garcetti_v._Ceballos and https://www.mtsu.edu/first-amendment/article/1608/pickering-... apply.)