Emily's Cat
Rarely prone to hissy-fits
At what point did we agree the phrase belongs solely to Fox News and their ilk?
"We" didn't. It's a definitional argument. If the term "cancel culture" is defined by an arguer to mean exclusively "right wing censoriousness on Fox News", then that allows them to dismiss any similar behavior from other sources, because it fails to meet the overly-specific definition that they are using.
It's transparently fallacious, but it doesn't seem to slow anybody down.