Superconductors with respect to electricity manifest zero resistance to electric current. But they are NOT also superconductors with respect to heat. The flip side of electrical superconductivity is electrical superinsulation. Both are low-temperature phenomena, though of course scientists are trying to raise the upper temperature limits. Superinsulators manifest infinite resistance to electric current, i.e., zero electrical conductivity.
QUESTION: Are, or are not, superinsulators with respect to electricity also superinsulators with respect to heat? In other words, do, or do not, superinsulators with respect to electricity also manifest infinite resistance to the flow of heat, i.e., zero thermal conductivity?. If their thermal conductivity is greater than zero, what is it?