My cat doesn't actually eat bugs. She'll play with bugs, chase them, kill them, even carry them around in her mouth and drop them in the living room like a gift, but she doesn't actually swallow them.
It's pretty gross when your cat wants to "kiss" your face or put their mouth near you after they just dropped half of a cockroach on the living room rug with that same mouth.
My cat is normally a grouch and wants very little to do with me, but of course when I'm grossed out by her carrying around half of a roach in her mouth, she suddenly wants to be besties.
My cat is such a troll.