Escher-like behavior in GE Plugin not replicated in Google Earth

I made some lift lines for a ski mountain with my GE Plugin drawing app, save it as kml, and then included the edited kml into my kml stream which includes a Placemark and a SuperOverlay. But then I needed lift labels, so I gave SketchUp a try. It’s not really designed for this, but it’s adequate and it’s free, so I made 11 labels at a cost of about 395KB compressed.

The lift labels were in a kmz document, but you can’t include a document within a document, so I loaded it up with a NetworkLink, just before the lift line kml.

Weird thing is, even though the labels are physically… at least in the virtual Google Earth Plugin world… above the lift lines, they visually appear to go _underneath_ the lines when the model is rotated. You can see this at http://3dskimaps.com/aplinemeadows/ge .

But if you look at the same thing in Google Earth, you don’t get this Escher-like effect - the labels visually appear to go over the lift lines as they should.