Perhaps.
But Expertflyer.com shows no award inventory on the AA codeshare flights from LAX to SYD on June 1, 2006 (AA 7308, AA 7364, AA 7366, AA 7370/7378, AA 7356/7300, AA 7356/7360, AA 7370/7372). However, Expertflyer.com shows inventory on lots of AA-operated flights from LAX to LHR on the same date. Is this a limitation of Expertflyer.com or a contradiction of what you're saying?