While the microscopic mechanism leading to type II superconductivity is still debated, do scientists at least have a handle on the phenomonology?
Specifically, are the experimental properties of type II superconductivity understood well enough that it is possible in principle for the properties of a newly discovered material to lead to declaring a type III superconductor? Or is type II so poorly understood, that it is best described as "not type I" superconductivity, and thus leaving no room for a type III superconductor?