I include a spliced bow. For all intents and purposes it's still just a piece of wood.
Pat, that fits the classic definition. It's the limbs that have to be of only one material. (In the days when there were steel bows, those were also considered self bows, because they were or the "self-same" material throughout the limbs.) For us, yes, it's wood we are thinking of.
Backed bows are just that. Laminated bows are that. Self bows are just one thing in the limbs. This all comes from the now-obsolete but formerly common use of the word self to mean "same." The term still seems to fit our purpose.
End of language history blurb.
Jim