Maybe you mean this as a joke but it absolutely was. At one point Joe mentions he and Carole made a lot of money off each other. He ran a whole internet show on the premise of vilifying her, and her whole "Cat Rescue" zoo couldn't exist without the likes of him.

They both denounce each-other but depend on each-other. Though I suppose Kayfabe would maybe imply some mutual understanding of this interdependence and some agreed-upon boundaries.