Thanks... after intensive search for images of factory Rubicon suspensions, there are a few with the stabilizer in opposite direction. Though mine has label facing up, not down as many are pictured. If I rotate the stabilizer 180° to have the label face down to the road, there is no question as to the installed orientation.Looks backwards to me, though I honestly don't know if it makes a difference. The shock is still horizontally mounted in either direction.

Shocks work by oil through an orifice. Oil can’t compress so the orifice slows things down.
Gas compresses so it all goes right through an orifice very easily and you loose the dampening effect.
So it’s important to keep the orifice side down where the oil is.