I suspect the reason for the properties of SOX are as follows:
-It's not an Arc lamp, and the lamp size is large so the light is spread evenly. The best way I can describe SOX light is it just "razz sound" everywhere. It's just omnipresent which while bad for skyglow, is good for the eyes.
-The colour is nowhere near blue, which has apparently been proven to be unhealthy for the eyes.
-It's monochromatic so contrast is reduced. Reduced contrast reduces sharpness, which can be a bit trippy at first, but lower contrast gives less eye strain overall. Think bright laptop screen in dark room - contrast = hurty eyes.
One thing I noticed when we did our motorway trip is how smeary the windscreen looked under SOX. because the light is much softer and less piercing the windscreen looked much hazier than when under SON or the varying white light sources that are coming in. the slightest bit of haze or fog also shows up SOX good, and it's this property of cutting through fog that also makes it quite useful.