Well - I would sign up for an AA account and credit these business class flights to AA anyway

I would also look at signing up for the AA Platinum Challenge. Costs USD200 - depending on where you are flying to in the USA, the one way journey will get you Platinum Status and then earn 60% bonus miles

Flying business class on Qantas from BNE-LAX-JFK is 9,636 miles
The award miles earned one way would be 9636 plus 25% bonus for business class = 12,045
If you do the platinum challenge, then this will give you platinum status and the return would get a 25% plus 60% bonus ( total 85%) for 17826 miles
29,871 total
This will also get you 28,908 points needed to get to AA EP status ( same level as QF Platinum - but with 4 x systemwide upgrades)

Do trip BNE-SIN-LHR r/t is another 21,162 miles and would you to 60,652 points towards EP status and bring award (spending) miles to 69,020

Just 16,000 miles short of a business class one way to Europe - on top of that AA ( unless you choose to fly on BA) will not penalise you with huge carrier surcharges such as QF and BA charge on their awards


For your next trip to JFK, If you book on AA flight numbers and your trip to JFK costs $8823 or more then your earning from the trip will be the max 75,000 points and you will reach Executive Platinum status ; after that any trip on AA costing $6819 or more will earn 75,000 points - Australia to USA costs 80,000 points one way in business class. To upgrade SYD-LAX-JFK to 1st class would cost 25,000 miles if booked in J,D or R class - 25,000 miles ps $250 if booked in I class - unlike Qantas, AA confirms upgrade as long as there is A class available to upgrade to

Continue crediting there and I suspect that you will get access to Concierge Key status

I think you will be a lot better off than worrying about P1 - I suspect that with business class travel you might well find that you find AA EP status more worthwhile than QF Platinum status and not worry about maintaining it