Spent another 30 minutes talking to AA again today with no joy. They still insist I can't take a QF/FJ codeshare HNL-NAN-BNE with a Global Explorer.
I'll give Qantas a go tomorrow and see if they can manage it. Even with the higher fuel fines, it's a much nicer routing for us and might be worth it.
I might post the question in the 'oneworld4u' sticky as well, in case it really is some special rule that just isn't mentioned on the OW website.