I don't see CX and QF codeshares anytime soon.
HKG-PER is weekly 3x QF and 10x CX ( soon as I think as the OW scheduler is strange at the moment) and the only concession QF has made is they permit routing via SIN for the same fare with a CX coded (not QF code on CX metal) SIN-HKG.
Same for QF on the PER-NRT route (no QF code on JL metal SIN-NRT) though interestingly JL does have a codeshare PER-SIN on the QF flights.
Still seems QF management has forgotten PER exists.
Fred