If lithium-sulfur batteries were like the nuclear fission of batteries, lithium-air batteries were like the nuclear fusion of batteries. The method of obtaining oxides from the outside air was the upper limit of the energy density of the lithium-anode battery.
Compared to traditional lithium-ion batteries, the energy density of lithium-sulfur batteries was an order of magnitude higher. Compared with lithium-sulfur batteries, lithium-air batteries were also an order of magnitude higher, in terms of energy density. Both the volume-energy density and mass-energy density were the same, a magnitude higher.
The only downside was that it probably wasn't suitable for mobile phones or satellites.
After all, the reason why the energy density of lithium-air batteries was high was that its oxides weren't integrated inside the battery, but were located outside the battery. Therefore, the battery needed to "breathe".