Do your cats eat bugs?

My cat likes to stare at bugs and occasionally bat them with her paw, but she doesn't eat them too much. Or, at least that's what I thought! We took her to the vet last month because we found a worm on her behind, and the vet concluded she must have eaten a flea! She's an indoor cat, but we take her outside on a harness to roam around the yard. She likes to eat grass, so I assume that's where she found the flea. I wish she would eat spiders and mosquitoes instead!