Can a mathematical superconductor be taken apart into simpler topological pieces? This AI voice briefing is not evidence. This Evidence Press candidate studies an existing theoretical family. It asks whether a nonzero flux sector separates into an invertible-superconductor vortex factor and a remaining anyon sector. The written proof rules out that separation throughout the specified family using two tests. First, count the distinct excitation types after resolving the symmetry identifications. Every nonzero sector has fewer types than the neutral sector, with an explicit minimum gap. This excludes a factor with two vortex types. Second, exhibit two distinct types exchanged by adding the physical electron. This pair excludes the other allowed factor, whose single vortex type would be electron-fixed. At rank four, the sector counts are eight, four, six and four. The nonzero counts are below eight, and the electron-exchanged pair exists. At rank two, the count comparison still works but the pair argument fails. Rank two is excluded. Counting alone is not enough. The family and main counting tools come from earlier research. The contribution is a uniform primitivity proof with explicit charge and electron conventions. It is not a new material, microscopic model or experimental result. Finite computer checks do not prove the universal categorical argument. This unrefereed candidate is not formally verified. It is the Evidence Press release dated the eleventh of October, twenty twenty-six. The page links the manuscript, source comparisons and replayable evidence. The page contains the details.