I started this thread several hours before the latest Service Candidate update.
Brian Gillespie posted that one bug that seemed to me as connected to one I presented, was resolved.
UV mapping does not export correctly to OBJ/FBX (RH-57899)
However, after an update to the latest Service Candidate, my problems with Edge Softened objects remain true, and UVs are still messed up inside external programs.
I am not sure if this problem has similar roots as RH-57899 but if so, is there any chance that it will be resolved also?