I like carbon the best because the arrows I use are very tough and don't require maintenance. Wood is definitely beautiful and is "traditional" in the sense that it was one of the oldest and most natural materials used in making shafts, but is too much work for me and doesn't easily accommodate inserts to change out points and nocks. Aluminum may be the best for target shooters, but is not as good for hunting in my opinion.
I do agree with an earlier post that carbon is not "traditional" in the sense it was not used by people who had to rely solely on primitive weapons, but the person posting said he shot aluminum arrows, indicating they were sufficiently "traditional". That seems to be a rather difficult line to draw, especially since James Easton was the first person to manufacture aluminum arrows and that did not happen until 1939. There are a lot of people on this site who were alive before the first aluminum arrow shaft was manufactured. What makes an aluminum arrow traditional but not a carbon arrow? If traditional archery is defined by materials, then most bows made today that we refer to as "traditional" really aren't because they have materials in them that were developed after the first carbon shafts.
Allan