No, liberals even are wrong that humans are the only animals that kill for “fun”, as any owner of a house cat who leaves mice and moles as trophies on the doormat knows perfectly well.
You are correct. Some dogs kill cats, by playing with them too roughly, not actually trying to “kill” them.
I had a Black Lab that loved playing with cats, but he was 155 pounds compared to a 12 pound cat. So often, he would hurt them and even kill them, he was just toying with them, but too roughly!
I never saw him eat one or tear it up; typically, he broke their necks or backs by jumping towards them.