Discount Economy "E" is one example which earns in Qantas Frequent Flyer but in no other oneworld programme:
Where to Credit | Where to Credit Qantas Airways Flights in E Booking Class
If you bought a "Red E-Deal" on the QF site, chances are that it is in "E" class:
If you can't find mention of your fare class in your original Qantas confirmation (I've not bought a QF flight in years so I don't know how easy it is to find on there, if it is included), then it should probably be listed in brackets in your BA Executive Club statement - something like this (but probably for your with an "Economy (E)" rather than the "Economy (X)" in my example here):
If your fare class is not one of those mentioned in the BA earning table for Qantas, then you earn nothing