QF fly HNL-SYD only 4 days a week....so if the agent didn't look at all 7 days of the week, the only option would be JetStar, and I don't know that that is a valid option even though JQ is owned by QF.
The other explanation might be that AS won't route you through HNL, and QF isn't the issue. But keep calling back.
Too bad missy is up to her eyeballs in Malbec and beef...she'd probably be able to find the answer.