Your argument about the covering being integral with the cable assembly is slightly off. The subject of the integral attribute is the insulation. That is conductors have an outer covering [over its insulation] or an outer covering which is integral with its insulation.I will give you that the covering is integral to the cable assembly, but it is only a covering and it is not insulation. The manufacturers call it a jacket and a jacket is covering and not insulation. There are a number of different PVC compounds that are used in the construction of conductors and cables and not all of them are listed as suitable for use as insulation. The compound used for the single conductor UF is listed as suitable for use both as an insulator and a jacket. It remains my opinion that if the EGC is bare within the cable assembly it is only covered and not insulated. I can't find anything to say that the jacket material used is suitable for use as insulation and is intended to be used as insulation.
You are correct that thera are several compound variations of PVC (the insulation and jacket material), but it is my understanding of cable construction that compounds do not differ between a single conductor and multiconductor versions of the same cable type.
Aside from documentation arguments, I'm willing to bet if you put the ground to a megger insulation test, it'll pass with flying colors