Whatever wood you make it from it still sounds liek a bass, wood has a small effect to the sound produced, but a fairly large effect on the ssound of a bass, since the spectrum of sounds from different basses is very much more narrow that the spectrum of possible sounds.
Also consider if the body is vibrating, the pickup is also, and its the movement of the string in relation to the pickup that makes the sound, if the string is still and the pickup moves, sound will be made (like microphonic feedback).