Cancel culture is not responding to an argument with counter-argument. Cancel culture is responding to an argument with an effort to personally destroy whoever dared to voice that argument, exclude them from the discussion and silence them. That's why it is "cancel" culture and not "debate" culture - you're not supposed to criticize somebody, you're supposed to end ("cancel") their presence in the society. In older, harsher, times, this was done by literally murdering people, but we have, thankfully, evolved past that. Now it's done by removing these people from their jobs, blocking their social media accounts, preventing them (sometimes by violent action) from speaking on any public forum and attacking (again, sometimes violently) of anybody who dares to give them support and comfort. Much more civilized!

You've missed the point entirely and the irony of your comment makes me believe little can be done to explain why.