[alt text: a two panel comic. In the first panel, a doctor is talking to a patient, and the patient is holding her head. The doctor is saying, "Does it hurt?", and the woman is replying, "Yes...". In the second panel, the doctor is replying, "Keep your cat inside or I'll punch you again". ]
Reminder if you have an outdoor cat that you feed in your house, you are subsidizing it killing birds. Outdoor cats who are fed at home don't usually eat the birds they catch since they have a more reliable source of food at home, so they kill almost as many birds as a feral cat with no other food source but don't eat any of them and just leave them to die once they they're not fun to chase anymore. So outdoor cats killing birds is not "nature," they're an invasive species being fed farm-raised invasive species by the most widespread invasive species of all so they can go out and kill native birds that they won't eat.
It’s actually quite rare for cats to kill birds, it’s a skill very few cats have. None of our cats has ever brought back a dead bird, while they have gone on an absolute killing spree among the local mouse population.
The birds around our house (mainly jackdaws, which are wicked smart) like to taunt the cats though.