Sorry, but the teacher hat just jumped onto my head...... (Of its own volition, I swear!)
The wood is neither "more" nor "quite" unique - and neither is anything else. Nor is anything "very", "kind of' or anything else unique; "unique" is an absolute - it neither requires nor does it support a modifier.
Note the root "uni", from the Latin "unus" - "one". "Unique" means "one of a kind"; either there is one, and it's unique, or there are more than one, and none of them are unique; there are no degrees of uniqueness.
Alright, I will now (as my mother would have said) get off my high horse, and say "Dayum, that is one purdy gitfiddle!!"
Peter (who really does try to keep the pedantry to a minimum.......)