After experimenting a bit more, I noticed it doesn’t do it all the time. Sometimes it works OK. If your Adaptive Skin Preview isn’t displaying properly, just check in the Subtool palette to see if the skin is indeed there by pressing ‘A’ key and holding your cursor on the ZSphere subtool.
edit: After experimenting even more, I can not for the life of me get it to do the same thing again. So far, it seems like it was only a one time thing.
edit 2:Well it’s back again. See my post here. Obviously, and sadly, Retopolgy is still screwed up.
If it gives you too much trouble, there is something else you can do. Don’t use Symmetry when you edit the Topology. Instead, do your part on one side, make it an adaptive skin and append the skin you just made. Select it in the SubTool palette then go to Geometry subpalette and click ‘Del Lower’ to delete the lower subdivision levels, or higher ones, whichever you want. Then, in SubTools, click ‘Duplicate’. Then go down to the ‘Deformation’ subpalette and click ‘Mirror’ button to mirror the duplicate over to the other side. Once you get the hang of it, it goes quick and easy too.