No it's the good old "if you're arguing that modern Western 'cancel culture' where accusations of insulting certain minorities might get you 'cancelled' from certain private platforms is more chilling to free speech than any other form of 'cancel culture' including those where being certain minorities got you blackballed from everything or even imprisoned or killed, you're not channelling Evelyn Hall so much as expressing which forms of freedom of expression you are most concerned with protecting' argument.
Especially in the case of the many pundits on the cancel culture complaint bandwagon who are quite open about which people and forms of expression they wish to silence instead.