No, it never is. I’m sure there are wasteful uses of timber. But at least from my perspective, and where I live, we’re a good distance from running out. Woodlands are, in fact, expanding, largely because private owners have different ways of thinking about trees than they once did.
I had the really wonderful experience of having known quite well an old timberman (now deceased). Cut timber all his life, and really knew trees. I’m kind of an amateur forester just for fun, and because I like trees, and I greatly appreciated some of the things he taught me about how to recognize what trees ought to be harvested and what trees left alone and what trees to simply cut down to rid the forest of them. If you know what you’re looking at, you can see a magnificent-looking tree that’s not actually growing at all. Others of the same species are “fast growers”, and you can pretty well tell that too. They’ll grow more in 10 years than another will grow in 100. The “fast growers” are also the big carbon sequesterers (for those who worry about that). He taught me which ones are best on east slopes, west slopes, north or south slopes, and which ones in the bottoms, on dryland and on “wet” land. It’s a wonderful subject. Some trees will grow wonderful, tight wood, and some of the very same species won’t.
Trees are like any other plant. They can be tended, weeded, nurtured, planted where they ought to be planted, properly spaced and freed of obstructiions, and they’ll reward the effort. I don’t particularly doubt that deforestation is occurring in many places. But I also think people don’t really know how to blend them into whatever other uses are being put to the land.