The private machinations of rationally acting rational actors acting in accordance with the terms of their voluntary associations seems to be something that quillette would support.
For example, they wouldn't support the assertion that a manager at McDonalds conduct a trial where evidence, chain of custody, jurisprudence, and counsel for the defendant be guaranteed before firing an employee.
In fact I bet they have published numerous pieces asserting the exact opposite, consistently, in the past.
But here we are, criticizing a university for firing an employee.
I guess their internal logic is not consistent and freedom only apply to job creators, and not "THE LEFTIST ACADEMIC ELITE".