I have had this viewpoint for quite a while now. Interesting link, thanks! I would also add that choice of fingerboard material doesn't matter at all to tone, as the strings never actually touch the fingerboard on most fretted instruments, they touch the frets only.
In theory, if you mounted pickups, a bridge, a nut, some frets and strings to an old wooden workbench, and kept the proportions the same as a Jazz Bass (scale length, pickup position etc), and then ran the signal to an output jack, it would sound like a Jazz Bass.
I think choice of woods and finishes are for vanity only.