Earlier quoted context omitted.
Yep. Imagine I punch you. You say: "Don't punch me". I punch you again. Then you punch me back. I say: "Aren't you being hypocritical? I thought you were against punching." The path forward at this point is for the left to admit they made a mistake, apologize, and work to negotiate a new set of ground rules.
Punch: https://en.wikipedia.org/wiki/McCarthyism Punch: https://en.wikipedia.org/wiki/Teletubbies#Tinky_Winky_contro... Punch: https://en.wikipedia.org/wiki/Dixie_Chicks_comments_on_Georg... Punch: https://en.wikipedia.org/wiki/Freedom_fries Punch: https://en.wikipedia.org/wiki/U.S._national_anthem_kneeling_... Punch: https://en.wikipedia.org/wiki/Sin%C3%A9ad_O%27Connor_on_Satu... But sure, the left invented it.
We had a big discussion about cancel culture just a few years ago, where the left responded to complaints about it by saying: "cancel culture doesn't exist", "freedom of speech doesn't mean freedom from consequences", "free speech isn't hate speech", "you're just saying that because you're a racist/sexist/etc."
In other words: "Our ideology justifies large-scale, systematic application of public shaming for mild noncompliance with our ideology. We aren't going to stop doing this."
A lot of prominent left-wingers simply lack the moral authority to complain. What goes around comes around.
If you, specifically, were complaining about left-wing cancel culture, I'll grant you have the moral authority to complain about right-wing cancel culture as well.