A further enquiry on the topic of AAMs, has there been any hints that the J-15T at least (since it's the latest variant) might be able to carry the PL-17 LRAAM?
Technically there's no reason to think why it couldn't from a structural perspective, and as the most recent production domestic Flanker type (probably no less modern than the latest batch J-16s) there should be no reason why it wouldn't be compatible from an avionics pov.
How high of a priority fielding such a capability would be for the PLAN aboard their carriers is another matter.