That would make sense only if Li-Ion batteries didn't have power densities north of 250 W⋅h/kg. Commercial battery cells used in vehicle sized applications, ho

That would make sense only if Li-Ion batteries didn't have power densities north of 250 W⋅h/kg. Commercial battery cells used in vehicle sized applications, however, often do exceed this value. So even at a 20% loss due to temperature control, an aluminium battery of the quoted power density still struggles to even just match Li-Ion batteries (i.e. Li-Ion batteries including cooling still have at least 26% higher energy density by mass; using a Panasonic cell as reference point).