A cat is, and always will be, a predator. We may selectively breed for the cute attributes they display indoors but let any cat out and he will eventually do what comes naturally.
Cats who fill up at home with food will still potentially hunt; appetite only really affects the level of enthusiasm in their endeavours. Bringing the prey back home to you indicates that your cat feels secure there and it’s a safe place to leave food to eat now or keep for later. As your cat gets older, he or she will probably hunt less.