Wood glue works great on wood's that are porous like soft, medium, most speckle-grain balsa, and even some of the softer 3-ply type plywood's.
CA works great as well, but its less user friendly and costs more.
The point of importance, I believe, is that sometimes
which glue to use is determined by the
type of wood to be joined, and/or by the particular application . Hope this helps