I thought they mainly used fast-growing pine plantations planted specifically to harvest for paper.
(Which still isn't 100% ideal, because monocultured pine isn't friendly to the local species and they're generally devoid of animal life, but way better than clearcutting wild forest.)
It is possible that some where in the world people do that.
Lumber is worth far more money than paper, especially in our current economy. Growing trees for paper in a forest rich area like western Canada is more effort than it's worth and more expensive.
(Which still isn't 100% ideal, because monocultured pine isn't friendly to the local species and they're generally devoid of animal life, but way better than clearcutting wild forest.)