In her earlier testimony, Duran identified LHO as the man who called to the cuban consulate in Sept 1963. By the late 70's however, both she and Azcue were saying the person was not Oswald.
Here's one possible scenario for this discrepancy:
When the new HSCA investigation was announced in the late 1970s, did Castro interpret this new investigation as a "CIA front" to blame Castro for the JFK assassination and thus justify a new invasion of Cuba? So in order to block the CIAs effort, Castro coerced Duran and Azcue into making the false claim that it was not Oswald inside the cuban consulate at all. If it was not Oswald, then the HSCA investigation could not blame Castro/Cuba for the JFK assassination because Oswald was not even inside their consulate in late Sept 1963 - thus no relationship between Oswald and Cuba. Castro would know that the CIA had no photo evidence that Oswald was inside the cuban consulate (they had already said their surveillance cameras were not working) and so Castro knew the CIA could not contradict Duran and Azcues claim that it was not Oswald they had met inside the Cuban consulate.
Castro then gave the HSCA investigation two photos of unknown males of who they thought might be the imposter Oswald in order to throw off the investigation.
This would explain why Oswalds photo does indeed show up on the application form.