It's only been a few days! The fact that cutting edge science from a pre-release version of a paper isn't going perfectly doesn't mean much. Give them time. Eventually we will have more solid answer.
And I know nothing about superconductors, I am talking about steel, a material that we have worked with for centuries, it's in the first chapter of every textbook and is practically everywhere.
Things are hard.
I suspect that what they actually have is some incredibly tiny superconducting crystals suspended on a material that is almost identical except for the placement of a few atoms. Very hard to work with.
Or it's just a regular diamagenetic material.
1 Copper atom 25 oxygen atoms 6 Phosphorous atoms 9 lead atoms
There are many ways to arrange these constituents.
It’s hard to create the environment where they want to go exactly where you hope over a large volume. Sometimes this level of precision requires atomic control of layer growth and extreme temperature management. That’s why the methods list days between steps to get the atoms diffusing, and that’s for a few micrograms of material.