CX is charging $2272 (5/6 - 6/2) from JFK/EWR to SIN for premium economy.

H class is $2052. Might as well go Premium Economy at that price

Additional thing I found on aa.com. I can lookup flights for "All carriers" in the aa.com booking tool. For example JL 5 followed by JL 11 to get to SIN on JAL. I'm assuming this is a JL ticket that doesn't earn EQMs since it doesn't have an AA flight number but operated by JL?