Curved Folding - KingKong + Kangaroo

Hi, been trying to create a curved folded surface from a 2D pattern of components (that would be fabricated separately, but 'share edges' in the pattern so that they will fit together on assembly). I've been trying KingKong (as nothing else has been working re: curved folds). I've been able to simulate all my components and their folds all fine, however, the KingKong process changes my original geometry - meaning my components won't fit perfectly together. I know the mesh is more accurate the more you divide the curves, but I need the mesh to snap exactly to my original curves. I've read snapping vertices and remeshing but I am unsure how to do this.

I'm also happy to let KingKong change my pattern as long as all my components fit together, I'm not fussed if they are slightly different, as long as they fit. Perhaps a solution where I can simulate the folds of the pattern with one definition instead of doing them separately? I've found this difficult so far with each component having a different angle and so forth.

I've attached:

- a file of my 2D pattern and folded components (as meshes)

- an example file of one of the components

- its GH definition (all components have the same definition, only changing the angle)