Tween curves on Mesh (Pufferfish)

Grasshopper
1

Hi

I wonder if there is any way to Tween curves on a mesh similarly the way it has been done on the flat pattern but on the 3D model

Curves_tween_3.PNG
Curves_tween_3.PNG664×782 174 KB
Curves_tween_5.PNG
Curves_tween_5.PNG696×755 38.5 KB

I tried on way which was to export the points on the polyline to the 3D modeller and then put it back into Rhino, but I feel this is a less than optimal solution

Curves_tween.PNG
Curves_tween.PNG563×814 96.7 KB
Curves_tween_2
Curves_tween_2850×767 57.2 KB

Since it is possible to tween curves on a surface, maybe its possible to do on a mesh somehow, even though it is not a labeled option in Pufferfish, since tweening curves on a surface is possible.

Curves_tween_4.PNG
Curves_tween_4.PNG724×646 115 KB

Tween Curve Mesh.gh (216.3 KB)

If its not possible, what would be the best method to surface the mesh and tween curves on it?

Thanks