In general, how is CX saver award availability for redemption with AA miles on premium cabins?

Would be looking for awards between SFO and HKG and beyond, like SIN.

I just did a quick search on Qantas and it shows CX awards on the outbound on CX for a couple of weeks out, SFO-HKG on CX893.

But curiously for the return, the Qantas website doesn't even show any J column at all. All it shows is Y, Premium Y and F. The outbound shows columns for those 3 and J.