I am officially now really confused about this after reading that thread. I think I'm getting lost when you say current and I know it as flow of positive charge but then you also talk about the flow of electrons. Then with capacitance, you talk about how the flow of positive charge leaves a negative charge on the cathode but that's confusing for me because doesn't the flow of electrons "cause" the current?
So in a typical battery, the positive end is the cathode and the negative end is the anode. I get that. When it discharges, current (positive charge) moves from cathode to anode across the voltage potential and simultaneously electrons flow from anode to cathode. Right? So when charging the battery (like the OP originally was asking), the anode becomes positive to attract electrons and cathode becomes negative to repel them restoring the voltage potential. The voltage potential that can also be called the potential for current to flow. I think it's easier for me to think of it in terms of flow of electrons.