Most recent email I received from AA last week stated that the LAX Oneworld (operated by Qantas) lounge was not part of the current agreement. I had used the 30 day membership to access this lounge in July 2015 without any issues but seems the rules have now changed again. My loungebuddy app showed access was available up until a few weeks back when it was removed so I guess there was a policy change. Can still use the AC lounge in Terminal 4 @ LAX although it is clearly not as nice as the Oneworld one at TBIT and has pretty mediocre food options when compared and coughpy wine. You can still access actual Qantas clubs if ticketed on QF or AA bot not on Domestic internal flights in Australia from what I understand. If departing Australia for a US destination you should be OK.
