WriterAlexis No, energy is what counts in the end. Actually from an engineering point of view energy that the battery can provide in an acceptable voltage/current range.
OTOH, for specific batteries (e.g. for cell phones), the voltage is usually well understood, so you can get away with specifying the current.
For DC, UIt gives you energy. And for AC it gets way more complicated, which might be also a reason why EV batteries that are capable to be charged via built in AC chargers are specified via Wh which nicely hides all that complexity without being wrong.