The place could turn into a desert.
You likely can't fix this with some simple technological measure. There are just too many people who want to improve their material standard of living. They have the tools and it's a tragedy of the commons from there on.
Another benefit to them is that a single glulam beam can replace several ordinary dimensional pieces of lumber. So you end up using less wood because they're stronger.
And when used as architectural elements, they're attractive.
Also, I recall reading that most old-growth forest clearance is to free up the land for agriculture, not primarily to produce timber, so timber buildings aren't causing this.
At current demand levels, yes. But if we're talking about replacing concrete with timber, you're going to find it difficult to keep timber production sustainable, since it will have to massively increase to meet new demand.
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Saw this recently on this subject.
Their projects page lists a couple of other buildings: https://structurecraft.com/projects
I now think the impermanence is a feature, not a liability. It's fine for a building to last just 20, 40, 60 years. And then get torn down and have the land repurposed.