Like the new tankers, Type 052D or LPD !!
I believe they have sent Type 071 LPDs on the anti-piracy missions in the past, right?
They have also sent Type 052Cs but no Type 052D as of yet. Heck, the current round the world tour the PLAN is doing (which is abut to visit the Eastern US) is a continuation of one of the anti-piracy missions which includes a Type 054A, a Type 052C, and an AOR.
One of the new AOR vessels would be nice.
I expect they will continue sending Type 054As and various DDGs, with an AOR for these missions.
One day, they will send the Liaoning our away from the Westpac and the SCS with several J-15s, a couple of DDGs, a couple of FFGs, and an AOR. That will be big news when they do...wherever it goes.