Carbon has many advantages over wood in arrow shafting. But then there are many bow types which have an advantage over a longbow.
I shoot wood and carbon from my longbow. In my opinion, carbon excels at consistency, great flight, penetration and durability. Wood can do all the above quite well, but give the edge to carbon. That said, I hope the last animal I kill is taken with one of my wood shafts. I love wood because it embodies the essence of hunting simply and naturally. I don’t feel handicapped looking at a quiver full of Douglas fir arrows built carefully by my hands.