This is from P18 (under aa-guns)
Usable by invading forces: If a territory is captured any antiaircraft guns there are captured. Their new owner is the player owning that territiory at the end of this turn.
P11 Capturing a territory
Any antiaircraft gun or industrial complex in the captured territory remains there but now belongs to your alliance.
Now, Liberating a Territory
P11
Antiaircraft guns or industrial complexes in that territory revert to the original controller of the territory.
Assumeing everyone still holds their capitals.
I’m simply treating the Japan-Egy thing as capturing a territory, not liberating.