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Very nice!
Thanks 
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By curved, do you mean with altering altitude so the lines stay visible? If so, have you tried <LineString> with <tesselate> set to 1? Works well for me
No is isn't, (tesselate is nice tho thanks!), basically applying the grid to a curved earth surface, means that the lines arent exactly streight. See this map which shows the grid with lat/long lines, trying to imagine that plastered on a sphere might help but is mind bending!
However its only a slight curve so havent given it much priority considering how much processing it would add.