That is an interesting view. You are right and false the same regarding the difference between the technical (*) definition of current flow direction and the physical one (opposite). So to reminder, the cathode can be seen as the "cold" end of the diode to be connected to GND. Current flows to this cold end (technical definition). And the symbol (arrow) shows the direction quite obviously (arrow direction = current direction).
The technical definition let the current flow from plus to minus. In fact minus is a surplus of electrons (with negative charge) and they tend to move to places with less electrons (plus). So this is the physical dimension. Mostly people mean the technical direction when talking about current flow which is more historical or conventional but not very precise.
See here (convention section):