Every part of regular circuit analysis satisfies Kirchhoff's current law, which says that there is no local accumulation of charge in a circuit: all flows of charge around any control element are balanced, in = out. Capacitors are no different, so it escapes me why you keep trying to make such a fuss about something that bothers nobody else in the world, ever.
If you discharge a capacitor then current flows in the circuit, and by your own statement current is the flow of charge. If charge flows, then there must have been a movement or displacement of charge. This is what is meant by the charge stored in a capacitor, something appreciated by everyone in the world except you. If it is you against the world, why do you keep trying? You cannot win your argument, ever. It is a futile waste of energy on your part.