Greetings and welcome to FT. As a QF regular, I'm not used to the AS partner award system, but I'll remind you that QF long haul award flights are very difficult to get on some routes - if not impossible (eg SYD-EZE). The AS system would probably have the same access that QF members have.
What this means is that the lack of award seats may well be that they just are not available rather than a linking problem between AS and QF systems.
Perhaps an AS regular can add some more comments?