It's the fault of the people why cats do that. They still have the instinct to hunt, but they are no more hungry, because they have enough food at their "home".
BTW, it does not care if you cut down trees or not. It cares what you buy. If you buy something you'll support something. If you buy Nike shoes you support slave-like-factories. If you buy things that have grown in the area at the rainforest, you may also support the cut down of it.