It's a neat demonstration, by the way, of the AC losses of superconductors. They may be zero ohms DC, but as soon as it starts changing, losses appear. In the high frequency limit, it's also noteworthy that superconductors don't change visible appearance, i.e., there's no effect in the 100THz+ band.
Type I superconductors don't trap flux tubes, but they do still exhibit kind of strange losses. The best resonators are niobium reosnators for particle accelerators, with operating frequencies of 100MHz to a few GHz and Qs in the 2 x 10^8 range (IIRC..?). In other words, they actually take human timescales for the resonance to dissipate. The surface finish is very important, but apparently more of a matte finish is better than a perfectly polished surface, or something like that. Subtle physical things that aren't well understood.
Tim