Round Corners do Not Drape
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 Simple plan with two rectangles: one with all four corners rounded and one with only two corners rounded. All straight lines are draped correctly, but the rounded corners do not. 
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 How small is this geometry. 
 SketchUp's in-built 1/1000" tolerance can prevent tiny edges from forming, so sometimes it incorrectly deduces that two very close points are coincident and then it doesn't make the edge !
 Try Scaling everything up x100, retrying the process and see if that helps.
 Scale back down afterwards...
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 Redone with sufficiently large dimensions. 
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 I can replicate it. 
 With a radius ~1" the segments should be long enough to exist, do it fails.
 So the in-built 1/1000" issue should not kick in as the segments are considerably longer than that.Making it say ~2", then it does not present the issue at all... 
 
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