[AlexanderHowl]

An effective, though odd, way of keeping psychic powers secret is to use conditioning to give people within your own nation the delusion that they have psychic powers (such as ex-convicts or other undesirables). As long as your nation knows who is a false positive and your competitor nations do not, they will focus their attention on the lunatics. When they realize that the vocal psychics are lunatics, they are probably going to discount any reports of secret psychic programs (or think that the AH Empire is run by lunatics as well).

During the first stages of the war, the ability to accurately predict the tactics of enemy commanders would have massive consequences. Imagine if the AH Empire quickly defeated Serbia and then was capable of deploying more of its army against Russia earlier in the war. Italy may have remained neutral if the AH Empire showed that it was effective, meaning that the AH Empire could have focused on beating Russia, allowing Germany to focus on Western Europe. Of course, it is to the benefit of the AH Empire for the Allies to waste their strength on its allies (and for its allies to come out of the war weakened), so the AH Empire would likely not have shared its access to effective psychic powers, only any resulting intelligence.