The amount of difference it would make, would really only be applicable to acoustic string instruments, and extremely well trained ears, and even then, you would probably need to have side by side testing to hear the difference. Its not like you could walk in on a classical violinist or guitarist playing in a room, and go, oh yeah, sounds like the violin is poplar and the guitar is mahogany………
The person that has the different instruments and can hear the difference, would be able to hear the difference on their own instruments, if they had 4 of the same Jazz basses all with different tone woods, but even then, if he walked in on a person playing a Jazz bass, probably couldn’t with absolute certainty, tell you what tone wood it was.
True, if you see the instrument, and know the make model and year by sight, you might know what it is, or if you saw the classical guitar or violin or cello, and recognize the instrument with your eyes, and you may know what wood that instrument is made from, but that is your eyes telling the brain what wood it is, not the ears, so assume all that, is to be in blind tests as well.
I know I will never be able to tell the difference., and would only care in natural clear coated or oil finished bodies, and would go by what pleases my eyes, because my eyes will tell my brain the
Wood grain and color that looks best, sounds and feels best.
Same way my brain will always tell me the orange bass sounds better then the mint or sea foam green bass.