Steve Hohensee, Hatrick and Don Stokes pretty much echoed my thoughts.
It's not that carbon or aluminum are any less traditional to me, it's just that wood arrows are what feels right to me. I've tried carbons for the last two seasons and while they certainly shoot real well, to me there is something missing. It is a part of the personal process of preparing my gear.
I don't know that there is much difference in the amount of work it takes to build one or the other either because while the process is different, the number of steps is about the same.
When I build wood arrows, there is a certain amount of forcing my will upon the shafts. They are not all straight. Not all can ever be straightened either. Still, I cull and straighten. I let them sit for a few days and check them again to see if some have stayed straight or some have warped again. Some WANT to be straight and others do not. I have to force some to become arrows. There are little victories along the way. There can be little defeats when I break one by trying too hard to straighten it. With each step, a little of myself goes into each arrow.
Wood arrows are part of what I think of when I think of traditional archery. Like sharpening your own knife and choosing to do it by hand on a whetstone. It's not that you HAVE to do things a certain way, it's that you CAN. It's part of basic woodsmanship, part of archery. Later down the road if you want to take a shortcut and use prebuilt arrows or mass produced shafting, more power to you. But I think that if you jump right into artificial shafting and components, you are missing out on a big part of the experience.
Maybe it works the other way too and artificial shafting can produce a better arrow for a beginner and help him shoot better sooner.
Like I said, I hunted with carbons for two years now but I think next year I'll be back to wood arrows. Maybe I'll bounce back and forth in future years but at least I'll know HOW to build both kinds.
p.s. Just reread the original question...."does someone harvesting an animal, using a recurve or a longbow, but using aluminum or carbon arrows ... in you mind decrease their accomplishment?"
Ah....gotta say no. I don't much care what somebody else uses as long as it is legal and they hunt by the rules. For myself only, yes, it does make a difference but not a lot.