There is no Chinese C-2-counterpart so far, only an E-2D-counterpart (KJ-600). Coupled with the much more stringent requirements for any carrier-based aircrafts, the prospect of further retrofitting/designing a Chinese C-2-counterpart into a mid-air refueling variant is rather doubtful.
In the meantime, until the J-35 has proven buddy-refueling capability, the PLAN is still going to be stuck with J-15s for quite some time. Either that, or the PLAN will need to procure their own MQ-25s, which does seem to be the general trend forward for carrier-based mid-air refueling.
On the other hand, having J-15s serving onboard Liaoning and Shandong for the coming years isn't that bad either. Apart from the EW variant and buddy-refueling capability, the J-15 can carry not just AShMs, but also ULRAAMs that will definitely screw up J-35's VLO profile i.e. PL-17. In this context, the J-15s will become the missile trucks for the J-35s in the PLAN, similar to how the J-16s will become the missile trucks for the J-20s in the PLAAF.
Besides, given how the present anti-ship and land-attack operations in the PLAN are mainly conducted by major surface combatants of the PLAN i.e. 052Ds and 055s with YJ-18 and YJ-21, both the Chinese ski-jump twins can certainly focus solely on fleet air defense and control of the skies over allied naval formations and/or maritime areas of interest.