With the fractional quantum hall effect, it should be clear at the latest, that neither the common electron nor the BCS superconductivity model can be true.

I follow Stoyan Sargs "Basic Structures of Matter - Supergravitation Unified Theory" model, which has a very different understand of SC and solves most problems in physics.

Due the fact that the electron is also quite different, the FQHE becomes easily explained. The Electron is a open, complexly formed, 3 body object with internal oscillations. In a superconductor environment, the overall structure disintegrates and build a train of electron shells and positrons. Same happens under certain effects that "create positrons". According to BSM, you can't create positrons, only shoot them out of their electron shell.

Superconductivity is only a state of the vacuum in which the energy of the CL node is below a certain energy threshold, that sits between the parma and diamagnetic domains. Chapter 2, 3, 4 and 6 explain this in great detail. They are surely 200 pages together, so explaining the details enough for this to make sense is unfortunately outside the scope what a comment field can provide :)

If you wonder, the reaction of electron + positron creates a compound particle of electron + positron mass but neutral charge as well as photons. It's relative stable and quite hard to detect.