Hungarian I know nothing about. However, Miao are not the same as Chinese. Hmong people don't, and never did, consider themselves culturally the same. Nationality, yes, because they are in the region of China, but the Vietnamese never considered themselves Chinese either. They are not Chinese, simply put.
Japanese and Korean should most definitely not be merged. Japanese are completely distinct from the rest of Asia. Sure, the Japanese spent heaps of time copying the Chinese, but they weren't culturally chinese.
Koreans were at the start of EU4 still chinese. Modern times? No. They are distinct. However, any Korean historian knows that the start of Korean culture was with Sejong. Sejong exists at the start of the game, however the Korean identity only existed at the EARLIEST at the time of the creation of Hangul. At the EARLIEST, even then you can argue it wasn't distinct for another 300 years. Nothing was different between Koreans and Chinese at that point. The north and south chinese were most distinct than Koreans were from the North Chinese. It makes no sense they aren't placed under the Chinese culture group. They used to be, then Paradox changed/nerfed them for some unknown reason.