At this point this isn't plasma electrolysis anymore, but I just wanted to point out that if the electrolyte concentration is increased enough (or water allowed to evaporate), the electrolyte becomes more like a thick slurry than a regular aqueous solution. Subsequently, electrolysis at sufficiently high voltages becomes almost like molten salt electrolysis.
This appears to be what is going on in the video below, where a soft dark metallic-looking material that could possibly be NaK (with some iron from the anode) is produced from the electrolyte accumulating on the cathode, and which I think does not violently explode due to the high pH of the slurry.
Occasionally I tried to lift the dark formation out of the jar but it turned white/oxidized quickly.