Yeah but the cats aren't controlling any other species. There's lengthy studies undertaken over the course of 20+ years to prove this. The cats kill native animals, they might take out another invasive species every now and then, like a rabbit, but that isn't enough to outweigh the sheer amount of damage they are doing to native animals, which is damaging to the point of extinction.
We have tried managing their numbers in humane methods already, we tried it for YEARS, we tried dozens of different methods.
You are talking about wolves in America, another person was talking about polar bears.
I'm talking about cats in Australia, I'm from Australia, I've lived here my entire life and I've been following/researching and living through this issue personally for years, so I'm finding it kind of hilarious that everyone is pretending to actually know more about this situation than me. It's very easy to sit back in another country unaffected by an issue and give uneducated opinions, but if you come here and actually witness what we are seeing every single day, and actually educate yourself on this matter then you'd realise how all your humane answers aren't going to work.
So no, you can't just compare this situation to hunting wolves for more prey animals, wolves are native and they are hunting farm animals. This is a completely different situation. They are so far apart from being related it's just crazy.