Neither lead nor copper are what we would normally consider a "magnetic material" like iron.

That it interacts strongly with a magnetic field shows that a big change in the material, consistent with superconductivity, has occurred.

Quantum level effects are newly appearing in the macroscopic world, and that's always interesting.

Could this not also have a big use case outside of superconductivity? Decellerators or accelerators for maglev trains or similar?

Oh, definintely!

Most materials are diamagnetic, but only very weakly so.

I think that a new room-temperature material that was so strongly diamagnetic that it could lift the weight of its own volume in lead probably would bring some interesting new applications.

For example, anything with a bearing in it used in an application where it's safe to have a strong permanent magnet.

Both polarities repel the material, a normal magnetic material would attract the second time

From the paper about the replication, they cast strong doubts on the original paper and consider it a fail

No, it’s repelled by both poles.

A magnetic material would orient itself to the magnet, and then move towards the magnet, not get "stuck" in its fields.

Is this somehow incorrect?

Getting "stuck" in a magnetic field is called "Flux pinning", which is what we're seeing here, from what I understand: https://en.wikipedia.org/wiki/Flux_pinning

Magnetic material can't do this. They're attracted. As some of the videos have shown, with large magnets placed next to the samples, they are not attracted/magnetic.

My question was on the money after all -- this appears to have been the property being exhibited. Presumably the downvoter was a co-author.