AF award availability inconsistency
I have been trying to book an AF J flight. CDG-JFK on 5-30.
Etihad and JAL say there is availability, but I would prefer to use Virgin Atlantic. I called Virgin Atlantic and they say there is nothing. I checked Delta as well and they have nothing. I then figured it has to be that for some reason it is available to non-alliance partners, so I checked Qantas and they have nothing.
Are Etihad and JAL both showing phantom availability, or do they get more access than other airlines?