I wouldn't ask what's so progressive about censorship, but why have progressives seemingly embraced it? or at least distanced themselves from a more firm defense of free speech.
I think this article is a good encapsulation of the progressive ambivalence on free speech, which has provided a rationale for violence against speakers like Charles Murray (https://www.theatlantic.com/politics/archive/2017/03/middleb...), the violent protests that have followed Milo Yiannopoulos, and "safe spaces" on college campuses.
parent poster is likely referring to the right to sit in your office all day spouting pseduoscientific essays on why 20% of your coworkers probably should not be working in the job they have.
