I'm working under the assumption that if QF flew SYD-HNL-LAX (or originating anywhere else in Australia) that they wouldn't do so unless they had traffic rights for the US domestic segment. It is highly unlikely that they would get this though, and I can't see JQ flying to the continental US unless QF's business model completely collapses. And even then, LAX would probably be the last of QF's international routes to remain even as that theoretically happened.