Is article doesn't do a great job of explaining what the discovery actually is. The article linked in the article is a bit better:

Their findings modify Kirchhoff’s law, which has governed current flow in electrical circuits since 1845 and is a staple in high school students’ science classes. Unlike electrons, ions move due to both electric fields and diffusion, and the researchers determined that their movements at pore intersections are different from what was described in Kirchhoff’s law.

Prior to the study, ion movements were only described in the literature in one straight pore. Through this research, ion movement in a complex network of thousands of interconnected pores can be simulated and predicted in a few minutes.

Seems cool, but research is still in the early stages. I don't think Super capacitors will be replacing lithium ion batteries anytime soon.