I would also love if right-wing opponents of "cancel culture" and ostensible defenders of free speech would stand up to the many, many right-wing institutions, including schools, that bar speech they dislike and fire anyone who transgresses their very narrow rules. https://twitter.com/bendreyfuss/status/1361739644321292289
I am sure many women who taught at Catholic schools but were fired because they got pregnant outside of wedlock, or the many folks fired for being LGBT, or religious minorities who were refused employment in the first place, would prefer to be un-cancelled.
Where are the free speech defenders when religious colleges bar students from forming pro-choice groups? Where are the worries about "cancel culture" when a student is expelled from a Christian school for wearing a rainbow sweater & having a rainbow cake at her birthday party?
Yes, the rainbow birthday cake expulsion is real. The picture of a girl in a rainbow sweater "demonstrates a posture of morality and cultural acceptance contrary to that of Whitefield Academy’s beliefs." https://www.nbcnews.com/feature/nbc-out/catholic-school-expels-teen-after-rainbow-sweater-cake-deemed-lifestyle-n1116136
Opponents of "cancel culture" complain about too-stringent enforcement of anti sexual harassment rules that result in men being fired or otherwise penalized for normal behavior - say, asking a woman out on a date. Then they're silent about stuff like this: https://www.nbcnews.com/feature/nbc-out/second-grade-girl-expelled-christian-school-over-girl-crush-mom-n1256548
Catholic schools fire women for getting pregnant all the time (perhaps they prefer unmarried women would have abortions?) https://www.nj.com/union/2020/11/for-2nd-time-court-reinstates-suit-by-catholic-school-teacher-fired-for-being-pregnant.html
Conservatives will say that private institutions can set their own moral standards and require that employees and students adhere to them. But then you really don't get to complain that other private institutions set their own moral standards and require employees adhere to them.
I personally would like to see stronger labor protections across the board, but I 100% promise you that the same people decrying "cancel culture" will always try to make exceptions so that religious (read: Christian) institutions can discriminate on the basis of viewpoint.