For context jet fuel is around 9,720 Wh/L. However, energy density(energy per volume) is less important in aviation than specific energy(energy per mass) as weight is far more likely to be the limiting factor.
A standard lithium ion battery has 100-265 Wh/kg
The article claims 500 Wh/kg in this new battery.
Jet fuel has around 12,000 Wh/kg.
Though this is a major improvement in battery tech, batteries are unlikely to ever improve to the point to even approach the energy storage of liquid fuels.
Batteries cannot run commercial aviation as it currently exists. Battery planes will need to fly slower and shorter. There is no other way.