JQ flights with a JQ or AA flight number won't work, but like I've said, with a QF number should be OK.
This proves nothing, but somewhat backs up what I'm saying:
"oneworld Explorer: An around-the-world product that offers exceptional flexibility and value. Prices are based on class of service (Economy, Business, or First) and, uniquely, the number of continents visited - rather than mileage of the overall trip. This keeps journey planning simple and flexible. Flights can be on any of the oneworld or affiliate airlines and Qantas codeshare flights (Qantas flight number) operated by Jetstar, covering over 750 destinations"