Game has a point, but that is not invalidated even if he has been liking his latest brew.
I have studied cats close up. I let a cat go free last week on my farm, much to my daughters' dismay because, well, "John" is a very sweet and loving pet they've raised from a kitten. So, the first thing they did this week was go looking for him. Well, he wasn't far from the house, but they found him eating a rabbit he had just taken down, who was still thumping the ground for a minute more. With a lot of grass around for over a year of wet weather, rabbits have become a plague now.
The fact is, cats have been useful to mankind as rodent control and bird control agents for thousands of years. I don't think Game knows much about the exponential population growth that occurs in nature among many species. Even fish will overpopulate the ocean if not for sharks and such. Humans need to understand these predators who serve as natures ZPG police. Feral cat populations will "explode", too. Same with Lions or cougars, but their population spikes lag behind, in a phase-offset relation, with their food supply.
"Killers" are a necessary part of nature.
Birds are killers, too. Without them, we'd have issues about mosquitos more than we do.
What we do that is wrong in relation to cats is we feed them Purina. If the Aussies exterminate their feral cats in their pristine natural parks, Nature will return to whatever it was, closer to the pre-Purina epoch. Just stop feeding the ferals, folks.