You’re projecting.

I live in a rural area where there are no outdoor cats or dogs because they’re instantly killed by predators.

I don’t live in a city that has an artificial environment with no predators created by the presence of humans. People who live in cities who are opposed to outdoor cats just can’t stomach having predators in their midst, to put it bluntly. A good chunk of the birds and rodents they kill are also imported species. Comparing any of these interactions to something happens in the wild is naive.