Is it, though? Because operations I've been to use every last available ounce of the tree. Trunk and limbs are sawn, small limbs, branches, bark, and offcuts are ground for biomass heating. Yes, it's burnt, but releasing no more carbon than it captured in its lifecycle and to provide a tangible end result that would otherwise be achieved with fossil fuels.
Root stumps rot, yes, but providing a breeding ground for insects and hence birds and small mammals and hence predators. They also fix soil beneficial bacteria and fungi, and having spent all their energy breaking up the soil and then breaking down they prepare the best soil bed for the new tree to take its place and sequester more carbon.
It's not the perfect process, by any means, but wood as a building material is infinitely more sustainable than concrete, gypsum and stone.