Purely from a 'feeling' kind of view, I don't think the cylinder and sphere are correct.
I have yet to implement/study the texmap extention for use in my LDCad but, I would expect the shapes to retain the checker pattern (but curved) in your example.
I have yet to implement/study the texmap extention for use in my LDCad but, I would expect the shapes to retain the checker pattern (but curved) in your example.