In order for "cancel culture" to be effective the grievance has to have purchase in the culture that individual exists within. This is why Liz Cheney is being "cancelled" within the Republican demographic even as society at large is basically defending her or at least agrees with her views on Trump. Similarly this is why "cancel culture" is perceived as left-wing (even though this thing can be traced back to the PMRC-types in the US and the Mary Whitehouse-types in the UK---conservative) because what is considered "cancellable" now are issues the left is primarily concerned with; bigotry, racism, rape culture, etc. When corporations start pandering in a certain direction, it usually means they're playing catch up with the broader social norms. I think "cancel culture" pisses off the right more because it's evidence their social views are outdated as opposed to because they end up being targeted by it.