Lithium air batteries theoretically can reach 10000-12000w/kg though they have only reached 1200w in labs so far. Gasoline is 13000w/kg. We don't need to match gasoline as it is inefficient.
CATL just got it's 500w/kg batteries for commercial aviation approved I am betting China is going to do the same with electric planes that it did with cars. They can't build a efficient enough jet engine to be competitive yet but they already can build the narrow body planes replace the jet engine with electric take over the market for short haul aviation once the battery densities cross 1000w/hr.