Okay. Well... let's presume that members of the public attend them. These private institutions. If you'd like your private education establishments run by a single ideological group that don't want other people to say anything at all - I don't know what you want me to say? It sounds like an ideological training camp - and the instructors, buoyed up by their own confirmation bias, and free from any dissent at all - sound dangerous and misguided.

Ultimately they get to decide what constitutes fraud and what constitutes truth. That's the basis of post-structuralist thought. Truth is whatever I think it. Cogito ergo veritas. And if you disagree with me, your view is oppressing me and you are a XXX-ist (insert relevant buzzword) which asserts that you are part of a power group and I am part of an oppressed minority.

For simplicity I will say that your private property is your safe space. Where, all being well, you are free to do and say whatever you like within the bounds of the law. You do not have to let anyone in and if someone is there who you don't like, you have the right to remove them.. When you enter public buildings and public spaces - even when they're privately owned (eg, colleges, libraries, sports stadiums) then you are in the public sphere and are bound by the social contract.

And yes... pseudo-science is presented as truth all the time - entire discussions about gender non-conformity happen on this very basis. Science is still very much out on that. Yet there are entire programmes designed around pseudo-science. Sociology is an example, much of psychology literature is another, the ubiquitous Gender Studies. Professors at Universities can pretty much teach what they like - and there should be a range of voices and views. Consensus means that people have stopped thinking. When an entire university becomes a left-wing, identity politics think tank and turns into an echo chamber, students aren't being educated they're being given ideologiy as fact - and none of the tools to dismantle it.