Construction working entirely with wood

If only there was another word for that...?

Wood construction is not typically considered woodworking, although there is often a lot of overlap. But the skills needed to make furniture are pretty different from the skills needed to make decks, fences, etc.

Carpentry is not the same thing as woodworking, to be fair. The latter has the connotation of making furniture, trim, and other such items that people want to look nice. Carpentry does not necessarily have that connotation. It's a kind of "all squares are rectangles, but not all rectangles are squares" situation.