Just a thought - do you have any QPoints / QMiles on QRPC at the moment?

If not, you might be better off crediting the QR flights to an OneWorld member you are more likely to fly with in the future or have some mileage with - e.g. AA

recently my uncle flew QR in J from LAX to CMB; crediting to AA got him enough status for a free bag on domestic flights and enough miles for a redemption ticket.
(crediting to QR wouldn't have got him silver and he wouldn't have been able to do much with the miles based in LAX)