It's probably pretty negligible, because the construction of the neck, the sustain block, and possibly the brass nut already add enough mass and stiffness to move the resonant frequency of the neck above anything which would cause dead spots, which means any tone changes would be in the uppermost frequencies. I think the Fatheads are simply trying to retrofit to a normal guitar or bass what is designed into an Alembic. If anyone has one of these, it would be an interesting experiment to see how it affects an Alembic, though.
(Edited to add)
It looks like there might be a significant mass difference between a crown or cone and a fan or knobby headstock, balancewise, but maybe not enough to affect tone noticeably.
(Message edited by crgaston on March 25, 2006)