My past cat squeek would prove your claim invalid. She was strictly a back deck cat who would not venture off the bottom step of the deck. On several occasions I observed her as she leaped thru the bars of the railing to grab a gold finch on a cone flower just off the deck in the garden then bring it back into the house and release it.
She also used the deck to spy into the garden and nabbed several baby rabbits and brought them into the house as they were squeeling. One died and the other survived after I let it go in the yard.
She would constantly catch voles off the deck and bring them into the house and release them for me..........LOL!
Any grabbing of baby birds out of their nests?