pause the screen at 2:49- he's calculating the specific energy for a
very specific chemistry, lithium cobalt oxide with a carbon anode. EVs don't even use that chemistry. It's more appropriate to use a more general formula.
Here's the most general possible one: only lithium. Each lithium atom gives up one electron, at some voltage. The standard electrode reference voltage of lithium is 3.04 volts. That works out to 26.8 amp-hours per mole, and 81.47 Wh/mole. A mole of lithium weighs 6.941 grams. The end result is 11.74 kWh/kg. That's the absolute, utter maximum energy density for a closed system battery (which is why li-air can exceed that figure).
I am continually surprised by how quickly capacity keeps increasing towards that. Battery capacity will easily double with tech quite similar to current, and 10x would not surprise me within my lifetime.