It looked like the named strand/node names on the polyline only account or the way it is originally drawn (left start location). When that is changed to right, the segments on the layout tab are still shown for that orientation, but in the preview tab they take into account the changed orientation.
One way to get around that would be to use submodels for the top, bottom, left, and right, rather than trying to use the named strands (especially since this is only really 1 strand of lights).