Now added
Can't see BNE-ORD (or SYD/MEL-AKL-ORD) started anytime soon, but with Premier Miles in a election year for Queensland, who knows. It would be a "Rob Peter to Pay Paul" situation as a existing 787 route would need to be downgauged in order for the 787s to serve a Queensland-USA route funded by the Queensland taxpayers.
I would think the Queensland Government would have better chance approaching QF to replace the pair of A330s on BNE-LAX with the 787 then start ORD. Would allow Queensland to mention the "national carrier" and their Queensland roots plus advertise the "flagship, premium" aircraft and service in such a scenario