I do not understand how it's not sustainable if it has sustained itself as a part of normal wildlife management for centuries without any destructive interventions besides cutting and replanting old trees in a fairly remote region.
Deforestation has gone wrong many times in human history, from early to current. Tree logging has the same issues all other types of farming has, soil erosion, chancing of biotopes, disrupting runoff etc. The bigger the scale the worse consequences of tree farming are. The mono-culture of tree farming is closer to a parking lot than it is to nature.