Wrap sweep curves on a revolute surface?

Hello All,

I need to wrap a braided pattern's sweep splines onto a revolute surface. Since GGR lacks a "develop" operator, I tried using "unfold & transfer," but it results in overlapping or intersecting sweep curves. "Wrap on surface" is another option, but the helical sweeps don't have a reference surface.

Is there a workaround to emboss the braided pattern onto a revolute surface?

 

Thanks!