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QF's earning calculator makes it quite clear to me:
You're reading the "(non partner)" bit into that. It just says "where another airline's flight number is entered on the ticket". EK is another airline
IMNSHO the only exclusion might be the "has been specified by Qantas Loyalty as an Eligible Flight" bit, but I don't know how/where it might have been specified (I actually take this to mean they allow exclusions for special promotions etc, but I'm just guessing).
Qantas Points are earned on all eligible bookings classes, except on Emirates codeshare flights operated by an airline other than Qantas.
Question my be relevant here and not start new thread.
Have booked EK flight HKG-BKK return discount economy with EK flight number. Would the earning be 275 QFF points each way? Flight in 4 days and know very little about Emirates Skywards program but it may not be a good idea to orphan a few extra points there.