Batteries and capacitors both store electrical potential, but in different ways. So yes you can compare their performance at storing and then delivering electricity under specified conditions.
Batteries can keep charge longer with less loss, but capacitors are faster at responding to rapid changes in eletrical supply and demand.
The quote you included shows exactly how they compared the performance at low temperatures, as an example. Maybe I am missing your objection?
eleitl@lemmy.zip 5 days ago
Supercapacitors are for stabilizing the grid, the batteries are for flattening the peaks/load-levelling at diurnal scale.