As far as I am concerned carbon has no benefits. It rusts and stains so easy, pretty much every time you use it you will be able to see something. Carbon sharpens faster than stainless but I don't always see that as a benifit as it is a little softer. They are both tough as nails in the field. I have battoned both through seasoned white oak and they held tough.

I have nothing against carbon but I see no advantage.