They've never built any surface ship that size. Let alone a battlecruiser ..of nuclear power no less. It would be quite an untertaking. Seeing how we China watchers have been waiting for the mystical PLAN CV?/CVH/LPH/LHA/LHD to appear for the last few years. And yet we still don't see one.
Only if they will put the time(several years) and effort into the ship with PLAN R &D and little if no outside influence.Considering the number of complex systems that a CVN incorporates, would it be worthwhile for the PLAN to build a large BCGN of ~28000 tons to serve as a systems testbed for several of these, such as nuclear powerplant, advanced C4ISR systems, tracking radars et al? This could help simplify things when time comes to build a CVN.