Displaying the surface of a globe as a rectangular map is admittedly grossly distorting. IMO something less distorting like Winkel tripel projection is probably not worth it. But most distortion occurs near the poles, making wrapping there impossible.
Yet whatever the projection, the side (longitudinal) edges are both relatively un-distorted and supposedly contiguous! There's no reason that the sides shouldn't wrap for adjacency. A hex at the upper right edge should be adjacent to a hex at the upper left edge (not over the pole, but side to side).
BTW, planets are different sizes. Might there be value in making their maps different densities?
