Having worked on a KERS system using Li batteries, I was also interested when I saw this. The technology is a few years away from prototyping on the scales required for KERS but it would be an interesting exercise to determine whether the the charge/discharge rate or the storage capacity is the limiting factor in the battery packs and whether this fast discharge technology would allow for a lighter system.
As this technology would allow a higher rate of storage, the energy recovered by KERS could be stored by a smaller number of cells (assuming charge rate is the limiting factor), the question is whether the energy storage capacity of the smaller battery would be enough to meet the requirements of F1.
Even if a similar number of cells was required though, the cell size could be smaller allowing a weight saving.
Unfortunately I no longer have access to the numbers involve in the electric KERS systems, but on a hunch I would say that this new technology could save a few kilos