You have business lounge access based on your LA ticket. The QF website info is convoluted as LATAM has exited Oneworld so the former Oneworld benefits no longer apply across Oneworld carriers. However QF has a special arrangement for LATAM so pax booking the QF codeshare on LATAM are treated much the same as when LATAM was a Oneworld carrier. None of this affects you. Don't worry about it.