Ok, so best I can understand their hypothesis:
The mechanism behind superconductivity is poorly understood.
Low temperatures and high pressures seem to be required.
They propose that stress on the inter-molecular structure of materials is responsible, caused by the slight change in volume of a material when cooled or compressed.
So, rather than cooling or compressing the material, they introduce impurities which distort the polycrystaline structure in a similar way.
Low temperatures or high pressures are required. Actually the mechanisms behind most superconductors are pretty well understood, they are so-called 'conventional superconductors' and are described by
BCS theory. But for realistic material parameters without applying pressure, the maximum transition temperatures expected for conventional superconductors are expected to be about 40K (-233.15°C), and usually less than 15K. At very high pressures, conventional superconductivity has been found in
hydrides near room temperature, but that is a far too high pressure (170 GPa) for any applications, and such structures are unlikely to be stable at ambient pressure.
There are also 'unconventional superconductors' for which the mechanisms are still poorly understood. These include the high-temperature
copper-oxide and
iron-based superconductors which cannot be described by BCS theory, and these have reached a maximum transition temperature of 140 K (-133°C). So any room temperature superconductor without applying pressure is likely to be 'unconventional'.
I wouldn't pay much attention to the proposed mechanism in the Korean paper because they don't really seem to understand much about theory of superconductivity. That doesn't mean their discovery is wrong however, because unconventional superconductors and especially the copper-oxide and iron-based superconductors have never been truly predicted from theory, but have largely been found by chance. But their data is also less than convincing, for example in their resistivity data is not clear that a good conductor like copper (with small but finite resistivity) would be distinguishable from a superconductor (with zero resistance).