Correct. In a related concept, I had a professor that explained it as a combination of electron flow in one direction, and "hole" [1] flow in the other. Either way of looking at it is valid.
But lightning is where the gas has broken down, turning into plasma. Lightning is a growing conductor, like a motorized antenna on an oldschool car radio.
The growth of lightning is much like a growing metal dendrite-crystal.
Also, when lightning leaps rapidly upwards, the electrons INSIDE the lightning are flowing slowly downwards. The extending tip of a lightning-streamer is not an electric current, it's more like the moving tip of a growing fracture.
[1] https://en.m.wikipedia.org/wiki/Electron_hole
edit: I'm not sure, on second thought, how far you can really go with that. Lightning clearly has directionality to it.