This analogy falls flat because

a) Carpentry already happens in the real world

b) There's a clear problem being solved (you need furniture).

Stretching your analogy to fit my point: pretend that programming is manually sanding wood, while AI-assisted programming is using a belt sander. If you're focused on the chair being built, getting a belt sander to help is great! If you're sanding for the craft (?) of it, focused on the wrist mechanics of rubbing sandpaper up and down, you'd be disappointed.