I shoot wood. If I could get carbon arrows to fly as well, I'd probably shoot them. I've tried them, but cedars shoot better for me. Aluminums fly fine, but they bend and dent and are noisy.
As far as carbon being tougher, I'm not so sure about that. I have broken just about as many carbons as wood, even though I shoot a lot more wood. If you Robin Hood a carbon, it is done. I have been able to save some woodies that I did that to. I have been using the same cedar arrow for stump shooting/shooting at squirrels, etc. for over six months. It is scarred up and ugly from hitting rocks, limbs, stumps and so forth, but still functional. When it wears out, I'll make another one for about $3. When I break a carbon arrow, it costs about $6-12 to replace it. If I lose a wooden arrow, it still costs about $3 to replace (maybe $3.50). If I lose a carbon arrow it is $8-15 to replace.
I make my own arrows. I don't need much for fancy equipment to make woodies. No $250 saw, a hand saw will do. A taper tool is under $30.
The bottom line is, even if the carbons are tougher, I can make lots of cedar arrows for what carbons cost. My arrows fly better (for me). My arrows smell like cedar. Carbons smell like...nothing much I guess.
I don't really care about traditional vs non-traditional. My bows are relatively modern. I just don't want to spend the money it would take to find a carbon arrow that would fly like a cedar when I can make cedar arrows that fly like cedar.
If they work for you, shoot 'em.