The "weaker" part refers to how susceptible the state is to a magnetic field. A high enough magnetic field will remove the superconducting state, and this mater

The "weaker" part refers to how susceptible the state is to a magnetic field. A high enough magnetic field will remove the superconducting state, and this material is on the lower side of magnetic field threshold. Superconductivity is generally a "yes or no" property like you said, there's no phase coexistence within the material of a superconductive and regular conductor phase (unless an applied magnetic field is present, in which case there is latent heat).