Just to chime in saying I already said "shame on you if you feed it grain based dry food" :D
I babysat an old fluffy cat back in 1999 that was quite fat and had diabetes. Giving it the jab every evening at dinnertime into his scarred neck was so horrible.
IMO, humans are very close biologically to cats. And it's not purely meat, to be very clear. They also eat some leaves, especially grass. Fibre is important for digestion even for otherwise pure carnivores.