The only way that argument makes sense is if one views their own political in-group as being the arbiters of true - never wrong, never taking the wrong side, never abusing power. If history has shown us anything it's that humans with power are really bad at those things.

What comes across as so hypocritical is that the people calling for restrictions on free speech were the same ones who benefitted from free speech in the past as they sought to push back against the establishment.