Superconductors...They advertise the material has 0 impeadence
No, superconductors have zero DC resistance.
Period, end of story.
No one has ever said they have zero impedance, except erroneously!
Indeed, type 2 superconductors have AC resistance -- it's even macroscopically visible!
Type 1 superconductors, carefully prepared, have quite low AC losses, even at high frequencies: resonators, of polished niobium at 2.2K, have a Q factor higher than most quartz crystals -- about 3 million.
The loss is small but nonetheless present, and it's poorly understood. One could only guess at the mechanisms; surface quality and purity probably have a lot to do with it.
All superconductors cease at some finite frequency, because that is the frequency characteristic of the binding energy of the Cooper pairs, ~1meV, which is in the 10s of GHz microwave region.
This can be used as a very fast switch, actually: the superconducting electrons are a thermal reservoir somewhat separate from the material itself (giving rise to the electronic heat capacity -- usually a small fraction of the total heat capacity, which is predominantly due to phonons -- acoustic vibrations). If the electrons are heated by zapping them with microwaves or higher frequencies, superconduction stops instantly, then eventually recovers as the electrons come back to equilibrium.
Tim