Many carnivorous animals are also eaten by other carnivorous animals, such as fish eaten by birds, and birds killed and eaten by kitties...or by other birds, lol.
As long as it eats meat and has enough to make it customizable I think it would be worth it. All that would be needed for birds is the model, some animations/expressions and the recycling of all the code, from customization to flight and whatnot. Compared to horses that would probably have people nitpicking at any flaw in the anatomy of how it would like, probably move, or walk or something, that is.