It would affect the acoustic sound far more than what you get through an amp as your ears hear the reflected sound waves off the front face of the body, but even then probably unnoticeable. The pickups work on magnetism so the effect of different paint is going to be negligible.
I bought a bass case from a guy in Bristol who collects Bean bass guitars - I couldn't believe the weight, it felt like double a 'normal' bass.
I'd love to own one, but feel my chances are slim.