A leaky capacitor could still be useful in combination with a battery - you can dump power into the capacitor for a super-fast "charge", then slowly move the energy into the battery. You don't get the capacitor's cycle stability, but at least you get the charging speed.
Maybe. Depends on the power density of supercapacitors, and also on whether you can increase the power density of the battery when you're not worried about making sure you can charge it as far as possible.
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A leaky capacitor could still be useful in combination with a battery - you can dump power into the capacitor for a super-fast "charge", then slowly move the energy into the battery. You don't get the capacitor's cycle stability, but at least you get the charging speed.
That would approx. double the size of your power storage, no?
Maybe. Depends on the power density of supercapacitors, and also on whether you can increase the power density of the battery when you're not worried about making sure you can charge it as far as possible.