It's not surprising that Planck's constant is important here, but this seems to have much more to do with crystallographic vacancy "holes" than anything even tenuously related to black holes or cosmology. I'm no physicist though.
> In cuprates, a perfect T-linear resistivity as T → 0 has been observed (once superconductivity is suppressed by a magnetic field) in two closely related electron-doped materials
From my understanding, they're claiming that the linear resistance-temperature curve with a slope of h-bar is evidence that the electrons are in something akin to a maximally entangled state.
Via the AdS-CFT correspondence, such a maximally entangled state is mapped to a black hole in AdS space in +1 dimensions.
edit: do you think Legros et al. agree with that interpretation, or is the Quanta magazine -> Atlantic -> nextbigfuture article just using the Legros paper as an excuse to bring up the "holographic duality" views of Hartnoll and Sachdev?
https://www.nature.com/articles/s41567-018-0334-2