They should also ban cats while they are on this. Being eaten alive sounds way more cruel than getting stuck and starving to death! /s
They definitely have a predator psyche.
Still, living in the country in an older home we tried for years to stay on top of our mouse problem. There's no way we could seal up all the holes and accesses here.
Once we got the cat, it was an instant transformation. A couple times a year the mice come in from outside looking for shelter and the cat has a week of entertainment and then we're mouse free.