Empress - it all falls down to HOW the name was programmed into QANTAS' system when all this OneWorld thing began.

QANTAS' programmers could have misspelt your name or alternated your middle name or something like that. My cousin, had his middle initials switched around to his first name (Chinese name) and that caused major problems on his OneWorld RTW ticket because every other OW airline recognised the name and status except QANTAS!

The best bet is to ask QANTAS how your name is spelt by giving them your CPLUS number first - they might deny it , but yes, you can check name based on CPLUS number!

Otherwise, just show your card at check-in ! It works that way.