The concept of "flow" is questionable though. Bubbles in water move upwards, but it is actually water that is flowing downward around the bubbles. Just because bubbles do not contain water, we can't say bubbles are not flowing.

When it comes to electrons and positive charges, their material existence is equally non-physical. Actually, none of them might be "flowing", as the concept of flowing applies only to physical things that occupy some spatial volume and spatial location.