While this tech does make some improvements, we are far from realizing true lithium air batteries. Some of the issues are (not a comprehensive list):
Filtering out CO2 and H2O while allowing O2 (if assuming open to the outside air system)
Carrying a dangerous and heavy O2 tank (if assuming a closed system)
Lowering the overpotential by electrocatalysts
Improving the coulombic efficiency of whatever electrolyte is chosen for round trip efficiency
Improving C rate
Ensuring that the packaging that is chosen does not nullify the energy density benefits when compared to lithium ion
Proving the safety record (nail test, short circuit test, vibration test, etc. and corresponding certifications).
I don't mean to dampen enthusiasm, because the battery space is an exciting one. However, the time scale for developments like these are likely longer than most people realize. Thanks for sharing!
RE: Storing energy in thin air?