My first cat, Pixie, was a great mouser. She would deliberately disable them - bite a leg off, then "play" Whenever she brought something in I used to put her and it outside in the garden and make it clear I didnt approve .....
I wish I could say it stopped her - it didnt - but at least she caught on I didnt want carnage in the house.
She nearly learned a hard lesson when she caught a young magpie. She had no idea what to do with it, as it was so much larger than her usual birds, so she sat on it to have a think!!
Mum and Dad Magpie, plus the entire Magpie rent-a-mob of Chessington turned up and mobbed her. She fled. Baby Magpie escaped, seemingly unhurt as it flew up into a tree with the many, many others.
Pixie had a healthy respect for Maggies, after that