If crediting to AAdvantage, and if the additional overall cost is not a problem, I think it is a better deal to book PE on CX, which is as low as $1749 from JFK right now for early next year.
Instead of 0.5EQM and 6% EQD, you get 1.5EQM and 20% EQD for much less than 3x the cost (so better per mile/dollar rate). [It might be a few hundred miles longer going through NRT than HKG so the 3x calculation is not precisely accurate.]
Just make sure that HKG-CGK is an E fare -- some of those flights don't have PE.