If you can keep the harvest to musical instruments, it most likely would be sustainable, but alas, most of the harvested wood goes for furniture. The same problem is taking place in the Pacific Northwest with Sitka Spruce. One of the best soundboard materials out there (having built a couple hundred musical instruments, I've been able to compare), but the bulk of the old growth timber being harvested goes to Korea, where it could end up as nylon. Soon there won't be any cutting allowed of this resource as we squander it away now. Then what will we use for soundboards?