100%. I admit that I started reading your comment and was preparing to feel insulted (“lack the linguistic facility”) but you’re right on the mark. I actually have a classical music education and I’m familiar with this differentiation – I was thinking of it the whole time I was writing the original post and grasping for new terminology.
Because the problem with the way the word “craft” is used in modern English is that people start thinking of the stylistic movement called “Arts and Crafts” or, perhaps even more unfortunately, the act of gluing egg cartons and acorns together with glitter to make kitschy place-settings.
To re-state my original conclusion, crafts can have artistry, but that does not make them art. The craftsmanship exists to serve a primary purpose other than pure expression. Eating. A structure to support living or working. The design of a hand tool or computer. Artful but not art.