Wild cats consume a large amount of insects for protein.
Living exclusively on rodents is a myth.
Cats also in urban areas decimate the wild song bird population. Country cats are so spread out the birds have a chance to out breed the egg thieves. I count two right now on my security cams they come out of their hides once the sun sets mostly. Both are females I think they showed up a few years ago and I started leaving water out and made blanket nests for them in the workshop I leave the door up about 4” they come and go as they please never once seen a rat or mouse but routinely get the remains dropped right next to their water bowls I read it’s a offering of exchange or respect.