CV-002-CV-003 go to three fleet and Liaoning remains a “training carrier” but can be called upon for action
While it makes sense that Liaoning is a training carrier at this stage of development (working out and writing the manual for flight ops, deck ops, etc etc), it seems awfully expensive to maintain her as a training carrier once there are at least two indigenous carriers in operations. Training should mostly be done at land facilities and once you pass those, you qualify on an operational carrier. Besides, if the indigenous carriers will be different, CATOBAR, how much training value will Liaoning provide? I rather see her be redeployed as a UAV carrier or LHA+ role. No navy has a dedicated UAV carrier, this may be an area that allows the Chinese Navy to leapfrog others. Personally, I don't want to see the day where all fighters are UAV, I think it's always best to have a mix of both, in case the UAVs become self aware.
CATOBAR allows planes to take off with more weight that STOBAR. Chinese carrier construction should slow down at this point till they overcome any internal challenges with building CATOBAR. It's not like Liaoning has an airwing yet so they can focus on building out the airwing and training multiple sets of crew while R&D hashes out a working CATOBAR design. The first island chain can mostly be covered by land based air assets. So going beyond, they should go big with large carriers (100,000 tons) like the US carriers to give them the ability to deploy a large enough force and sustain it far away from home base.