You could certainly look at it like that. Or you could see it as a sacrament to the wonder of life.
You and everyone you know live inside buildings that are literally made of dead trees. Lumber provides the supporting frame for the walls, floors, and roof. The walls are then covered with drywall, which is a mixture of paper (from wood) and rock. And the floor framing is covered with plywood and then many times, finished with a layer or hardwood. Not to mention all the furniture that goes inside.
Everything living will die, including trees. After they are cut down, some trees go on to enrich the lives of humans after their death, by providing shelter and other comforts.
This is of course without the consent of the trees, so if it make you happy to think of it as murder, then by all means, you might be right. So yes, woodworking does promote tree murder.