I don't think you've very effectively rebutted his argument here.
If I was going to disagree with the blog, it would be over this strange idea that we should only talk about specific cancel culture incidents and never about the principle of free speech. Why not both?
> I believe that “cancel culture” exists — that is, I believe that some responses to speech are disproportionate and outside norms of decency, and I think the culture sometimes encourages such responses.
He's criticizing how the editorial talks about the problem. I agree with the spirit of the blog and the op-ed. I'm criticizing how the blog talks about the op-ed.
NYT would prefer:
"I slightly disapprove, err--- I mean I very very very mildly approve of what you say, and I will defend to the death your right to say it, while also acknowledging that I must be respectful to you in all that I say regarding what you said."
(Here in British Columbia, Canada, a Jewish lawyer famously defended a holocaust denier's right to free speech (pro-bono!). I remember the lawyer telling people that he planned to be the first to piss on his client's grave, but that he also intended to defend him in the courts to the very best of his abilities.)
The blog just gets weird:
> It’s good that the Times is worried about speech-suppressing laws promoted by some conservatives, but it’s terrible that the Times is gullibly accepting the Right’s deeply dishonest assertion that it doesn’t engage in the sort of behavior it calls “cancel culture.” There is no serious argument that conservatives refrain from “cancel culture.”
Which part of the following quote from the op-ed claims that conservatives "refrain from cancel culture"?
> How has this happened? In large part, it’s because the political left and the right are caught in a destructive loop of condemnation and recrimination around cancel culture. Many on the left refuse to acknowledge that cancel culture exists at all, believing that those who complain about it are offering cover for bigots to peddle hate speech. Many on the right, for all their braying about cancel culture, have embraced an even more extreme version of censoriousness as a bulwark against a rapidly changing society, with laws that would ban books, stifle teachers and discourage open discussion in classrooms.
None of it! It says that conservatives have taken cancel culture further.
The author is worried that agreeing that cancel culture is a problem will help the right. But he does agree, so he does his agreeing in a roundabout way while heaping scorn on the op-ed. The overall effect is unpleasant.