My cat hates crickets. She will lay in wait for hours just to catch one. When she catches one she eats the whole thing except the hind legs. I think she thinks there is to much fat on those legs! The good thing I don't have many crickets around! I don't spray insecticides or poisons of any kind around my home.
I had all sorts of crickets in the apartment I lived in a couple years ago. All three of my cats would get in on hunts, and my male always wanted out into the garage, because that's where the best hunting was. He'd happily stay in there by himself for hours chasing them around.