I think the best way to think about it is to look for where reduction is occurring. The electrode that is receiving electrons is being reduced, and is therefore labeled the cathode.
A fully charged capacitor has a highly reduced plate that is negatively charged - cathode.
A discharging capacitor results in electron movement the opposite way of when it was being charged.
The plate with higher electron density (negative charge) will lose electrons that flow towards the positive charge - becoming oxidized, and by convention an anode.
So I would say that the plates of a discharging capacitor are analogous with a cell by charge/name due to the direction of electron flow.
Sorry for the long post, but I have not seen them named before, and this is my way of reasoning it out.