Hi, Uwe
Note that a lot depends from how original polygons are organized/triangulated. Your frau is triangulated “in max style” (a new vertex is at quad center, create triangles). As we remember it’s Andersson triangulation but we can mistake. In any case it allows to use “Diagonal” Braider’s modes effectively.
If you want a “diagonal net” for a quad mesh, then create 2 Braider instances with “Diagonal 1” and “Diagonal 2” respectively that both uses same meshes. Specify “Offset” (like 0.5 - 1) for first or second instance only. At least it’s how it was originally designed 
As we understood, you want too much from modest lines. They are still lines, not a real geometry. They cannot create so thick tubes as you required 







