That would only be if we only judged by comparison to the human population. In a setting with either the same amount of feral animals, most of the carnivores could get by on the same meat products we consume. And in a setting where everything is anthro, combining the human population with all the other animal species out there would make the odds much more favorable.

But I do still believe the most likely scenario would involve the herbivorous anthros outnumbering and driving out whatever carnivores they couldn't tame. So without the added influence of other fantastic elements like reformation or body modding, it likely would be just as illegal and only slightly more common than in the real world.