Our family had a cat named Tiger (my brother swore she was a Tom when he brought her home) who was an excellent hunter. She once brought home a partridge (as we call the Ruffed Grouse in our neck of the woods). My mother would release any living birds, mice, etc., that the cat brought her.
Cats instinctively bring home game, live and dead, to their kittens, in order to teach them what, and how, to hunt and kill. Presumably they regard their “humans” as big dumb kittens that could use a few lessons in survivalism, even if they do know how to operate the can-opener and the can reach the handle to the fridge.
Cats are often regarded as cruel because they “play” with their prey, but again, this is educational–practice, practice, practice. Besides, cats kill by biting their prey on the neck. Who wants to stick their face into a seething ball of rat teeth and claws? The logical way to kill a small ball of fury with your teeth is to bat it around until it tires out or is stunned into submission, then go in for a quick kill.
I read somewhere that what a cat hunts is at least partly genetic–some cats are born birders, others are born mousers, some have had the hunting instinct bred out of them. Inquire of the hunting skills of a kitten’s mother (and father, if known) before you acquire a cat, and it may save you much grief.
Personally, I would like to have a cat with the savoir-faire, savoir vivre of Puss-in-Boots, who not only hunted with taste and discrimination, but knew how to handle Kings and Ogres. To Hell with pinecones, Puss, bring me Chateaux in the Loire Valley!