I was thinking that the design is somewhat more forgiving. It should open the door a bit more for previously unsuitable woods; but not a drastic difference. Your piece for example, B., would probably squeek into the game. Thickness requirements won't change, so in your case it's still going to be tight but not impossible.
since the body and cap are all made from one piece of wood (vs wood/richlite/metal being adhesed and playing together), there should be less concern about expansion/contraction as well . . . . to the point where the battery tube starts getting choked off. This design doesn't require any wood/caps to take and hold
threading for machine screws. The squonk area is stronger; it's a stopped bore, so the bottom is part of the one-piece body. (←this is something that you folks suggested/requested a long time ago. I just couldn't do it with the previous design.) Also, I've stopped the bore higher than on the battery side; so there's quite a bit of beef under there.