I have a different explanation. Think of a material as a sponge for heat. When I squeeze the material, I raise the temperature, and that causes heat to leak out. The temperature of the material doesn't really tell me how much heat is in it, so this experiment is suggesting that it is the heat itself that prevents superconductivity.
Now a superconductor is just a conduit for electrons that doesn't generate heat. We know from Landauer's principle that heat is only generated when you destroy information. If I take a pair of entangled electrons, those electrons contain exactly one bit of information (in the von neumann sense). If I cannot add energy in excess of the energy required to disentangle them, then that bit of information is never destroyed.
Whether or not a given interaction between the electron pair and the substrate has enough energy to disentangle them is not a function of temperature, it is a function of the actual energy that may be imparted to my pair. Which is proportional to the actual heat in my material, rather than its temperature.
Now a superconductor is just a conduit for electrons that doesn't generate heat. We know from Landauer's principle that heat is only generated when you destroy information. If I take a pair of entangled electrons, those electrons contain exactly one bit of information (in the von neumann sense). If I cannot add energy in excess of the energy required to disentangle them, then that bit of information is never destroyed.
Whether or not a given interaction between the electron pair and the substrate has enough energy to disentangle them is not a function of temperature, it is a function of the actual energy that may be imparted to my pair. Which is proportional to the actual heat in my material, rather than its temperature.