re hello christophe,
I am still facing some issues, I am re ordering the edges of the wire so they are one after the other:

nevertheless i am getting this output;

this has also happened here: Issue with projection of edges with seam to create section of a face - #5 by franco.ota i dont know exactly what the problem is. (still in the gui with the published elements that where used to get the second image it gives the correct result)
If I repeat as you mentioned at on point I get the correct result nevertheless this behavior is even more problematic as it is not even a section of the faceā¦