China's experience was based off the fairly nascent and under developed soviet programs. China has by now clearly taken the lead development on these platforms and trying to solve issues the soviets never really got around to. But its quite likely these are evolutionary dead ends and China will likely take a new tact on future carriers.
SKorea, would simply call up the US, and the US will happily arrange FMS like they did for France and supply MOTS catapults, systems, and give them a choice of in production aircraft, and give them access to training programs. US has a full in production systems and nearly a 100 years of continuous carrier experience to draw from.
As for the ships themselves SKorea has extensive large ship building experience. This would be a walk in the park in terms of building. I am sure the US has offered lots of input on design.
I also imagine Japan are considering similar types of dedicated carriers. There is a strong belief that the F-35B conversions is really only to gain experience and expertise and forge the way for a full blown carrier.
There Is Only 1 Thing Stopping Japan from Building Real Aircraft Carriers
As for S.K carriers.
Both of which look very similar to existing designs. Namely CdG (abit conventionally powered) and QE.
I can see some export potential in a 42,000t conventional CATOBAR carrier with an airwing of about 24. But there are concerns about US sized fighters landing/launching on such a small carrier. I would expect any design to take in the feedback from CdG cross decking. Might only really be suitable for A2A loads.