Ok, now it makes a little more sense.
You need a guide vector at each connection to align the mulion profile. The best way to do that is actually to turn your line network into a mesh (using the Weave Back component from Weaverbird, or else just by making a mesh yourself in Rhino) and use the averaged mesh vertex normals. I have internalised such a mesh in the definition below.
Then you can set out planes to orient your profiles before extruding them, however you wish to do it. In your case I presume vertically, so the top bit of the definition is just picking the curves that you wish to extrude. It then joins them, sorts them and lofts them into the mulions. The profiles are oriented by combining the mesh normals with the XY plane (you can just use the normals if you would rather, however I’m going off your first image from before). Note that the mulions with your line network will inevitably twist along their length because what you have here is not what they call a ‘zero-torsion offset mesh’ (big words eh?!).
The offset ‘surface’ panels are then just made by moving the mesh vertex points in the direction, not of the mesh normals, but of the planes we made before for the mulions. Then just make a surface from the mesh face boundaries. I hope this is your intention, can’t spend too much more time on this though as Kim has also burnt some time here - you really have to explain the question in detail in the first instance in order to get better answers, but anyway I hope this helps you in your mulion quest.
Mulions.gh (14.7 KB)