Put my vote in the "not part of a complete set" column.
Sold many, many, many "complete" sets over the years. Never* included the traded set. Never got questioned about it. Most people do not expect the traded set to be included.
*One interesting exception though...The one time I did sell a complete set along with the traded set...it was a 1974 Topps baseball. Maybe I set a bad precedent though pretty sure I listed it as "Complete set plus traded".
