I don’t think it is purely about how loud and radical some students are, it is also about how they align with the pre-existing ideological dispositions of the average university bureaucrat. Imagine, hypothetically, that the loudest and most radical students on campus were right-leaning rather than left-leaning: somehow, I doubt the same university administrators would be so quick to give in to their demands.
Now, if we are talking about a different situation, in which most university administrators were centre-right, then it could well be the other way around.
Bureaucrats respond much better to activists who (in broad outline) agree with their ideology, but who claim they are failing to live up to it, than to activists who are promoting a very different ideology instead.
For example, right-wing students might demand an art exhibition at the university be cancelled because they believe it to be “blasphemous” or “obscene”. Or they might object to a Marxist being allowed to deliver a guest lecture on the grounds that it is insensitive to the victims of communism.
https://daily.jstor.org/adolph-reed-jr-the-perils-of-race-re...
Thinking of contemporary academic Marxists - how did I forget Slavoj Žižek. Another is the Marxist feminist Nina Power (although I’m not sure if she still identifies as a Marxist). Both, however, like Reed, are the kind of contrarian leftists who are probably more useful to the right uncancelled.