Not sure if you're still watching this thread but just a comment regarding naturalized. I have training in wildlife biology and it's kind of an invented term in this field to defend the existence and management of pheasants in North America which are non native but typically thought of as not disruptive to the ecosystem since they occupy farmland and the idea is that they are not out-competing other native birds or utilizing resources that could otherwise be used by other species. Also they have the benefit of being a historic and extremely popular hunting species. SO, basically this results in managers that can say they manage for "native and naturalized" species and want to control/eradicate "exotic, invasive" species.

Even disregarding the invention of the term "naturalized," it doesn't describe cats anyway. Cats are not naturalized, even in completely feral states without human intervention because they have direct impacts on native species. Killing of native birds, small mammals, and small reptiles is additive rather than compensatory relative to already existing stressors and limitations in the environment.