Yes, but the cat is fed inside the house as well, leading to a huge overpopulation of predators. That's not the natural order of things.
A normal predator that devastates the local ecosystem because there are too many will run out of food and then go down in numbers until some sort of equilibrium is restored. Doesn't happen with pets.
On top of that cats are actually not local to most places in the world. So they are an introduced predator which the local wildlife didn't develop defenses for.
I also wonder if you would accept the same argument if the neighbors dog would maul your cat (or even your child)
The cats are provided as sacrafice to protect the children, once the coyotes get a taste for the flesh of children the rest of humanity will be in danger.
A normal predator that devastates the local ecosystem because there are too many will run out of food and then go down in numbers until some sort of equilibrium is restored. Doesn't happen with pets.