I have ten basses, all different woods and they all sound and feel different but I'd be very wary of attempting to put the differences down to the body materials.
In a band setting, I take different basses to rehearsals to see what suits what best. When I was gigging regularly (back in the 90s) I'd use three different basses over a gig for different sounds.
So I can hear differences.
But not between different woods.