The material is the same and the normals and pointing in the right direction.
The color of the verts is white and i don’t even used (Light) when painting the verts.
Add a new scene and set the original scene as a set in the new scene. Then the object from the first scene won’t be editable in the second scene.
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For rendering there is not “supposed” to be any difference (always rendered double sided). In the modelling window single sided meshes show black on one side and the material on the other (the direction the normal is pointing). Single sided meshes give you visual feedback if a normal is pointing in the wrong direction which can cause problems later.
In the above case the normals were all correct so it should have rendered correctly, but it appears that the set smooth option occasionally acts differently on single and double sided meshes – I haven’t been able to figure out why it sometimes works differently, a bug perhaps.