Of course, I think that's why most people have pets. We're just back from the vets with one of our rabbits and having it sitting on your knee for hours is nice. But when people start imputing human characteristics onto them, give me a break. Cats in particular don't care much about humans beyond how useful that human is to them.
And yes, I think a cat delivering three dead rabbits a week, because it somehow telepathically knows that times are hard, is bollocks. Rabbits, being pray animals, make it their business to be very difficult to catch. I'm sure a large cat that was a good hunter could catch the odd young or sickly rabbit but three a week? No chance. Rabbits are faster than cats and any cat trying to latch its claws into the rear end of a full-grown rabbit is going to get kicked into next week!