I have a barn cat. Her immediate ancestors were never let into the house, as they were working cats; their role was vermin control. She herself gets antsy inside, and her happiest moments are when I let her out and it happens to be raining, snowing, freezing or otherwise miserable weather.
I also have a regular, normal cat, who does not buy into that nonsense; it's quite a contrast to observe. But they both eat cockroaches, so I love them.
Cats eat roaches? I did not know that. That’s even handier than mice chomping.
My little Karelian Bear Doggie never met a bear, never caught a rabbit, was nonplussed by possums playing dead and was outwitted by raccoons but he was a good ratter in his day.