When cancel culture was running amok, people were getting fired/reprimanded/harassed for advocating nonviolent protests over riots, for using Chinese words that sound vaguely like an English racial slur, for interviewing Black Americans whose opinions differ slightly from the official narrative about what a Black American ought to think, for throwing a geisha-themed party for your young daughter, for wearing a prom dress inspired by a traditional Chinese aesthetic, etc. None of these are remotely right-wing offenses.
This is the whole problem--the left harms people whose actions/opinions are well within the Overton Window and upon criticism, they retreat to some variation of "we're just opposing objectively horrible people!". This whole game hurts left-wing credibility and it easier for far-right viewpoints to enter the mainstream (is so-and-so an actual Nazi or are they just failing to completely toe the left-wing party line?). It's also just shitty behavior that makes people angry and pushes them rightward, and it does nothing to help left-wing causes.