At this point, I'd say carrier based J-10, J-11, JH-7, L-15, etc. are all speculations. While technically possible, the PLAN has never operated carriers or carrier aircraft, nor has PRC's aviation industry ever built carrier aircraft before.
The only realistic options for the PLAN is to import Su-33 or MiG-29K from Russia and study them. Since the PLAAF already operate Su-27/Su-30 series aircraft, the obvious choice is Su-33 with many similiar components.
Personally, I don't object to purchasing a small batch for R&D purposes... but I think now is not the time to spend a lot of $$ to build a carrier program with manned aircraft. The resources are better spent on long-distance/stealth armed UAV's, C&C, and space-based technology IMO. It's near impossible for the PLAN to "catch up" to USN in area of traditional supercarriers and manned combat aircraft. But investing in the future (armed UAV technology) might give them a better edge down the road.