You can fly 3 class LAX-MIA on AA and UA and 3 class SIN-HKG on CX, don't know about SQ. LON-ATH I'll give up on.
What really amazes me about this development though is what the competition/regulatory authorities were thinking when they approved it.
At present there are 2 airlines that fly and compete on the SYD-PER-JNB route (I don't think that via SIN or HKG counts as competition). Now with this change there will be one airline flying SYD-JNB and one flying PER-JNB and they will be co-operating. It totally baffles me as to how this cpold have been approved.