As far as I am aware the LA code will never show up on the QANTAS FF booking engine for SYD-SCL and AKL-SCL flights as all awards on these flights must be booked using the QF flight number and I also donīt think that an AA award will let you book the Qf codeshare flight - you must book the operating carriers flight. So for these flights using AA miles the QF FF site is of no value. You are better off searching on the LAN site (although I donīt know that you will have a lot more luck but at least youīll be using the correct tool)