A Chinese-dominated Korea would be hard to pull as a scenario IMO.
Considering the fall of the Ming as a reason for their militaries to attempt occupation of various parts of Asia, Korea would be hard-pressed to send back any refugees, much less accept a foreign dynasty.
The reason is because the Manchus are right next to Korea and such a situation is extremely convenient for them to use the refugee crisis as an excuse to invade Korea.
This was what actually happens IOTL, where a neutral to pro-Ming stance by Korea leads to two consecutive invasions by the Manchus. So any larger refugee would not help.
If the situation was that the Han Chinese were to completely dominate Korea to invade Japan, it would look similar to Koryeo: a slight dynastic "consensus" by landing half-Korean, half-Chinese monarchs to power, with indirect political control, along with complete military control. Such a scenario may allow a Japan invaded by China and subsequently ruled by it.
Considering the fall of the Ming as a reason for their militaries to attempt occupation of various parts of Asia, Korea would be hard-pressed to send back any refugees, much less accept a foreign dynasty.
The reason is because the Manchus are right next to Korea and such a situation is extremely convenient for them to use the refugee crisis as an excuse to invade Korea.
This was what actually happens IOTL, where a neutral to pro-Ming stance by Korea leads to two consecutive invasions by the Manchus. So any larger refugee would not help.
If the situation was that the Han Chinese were to completely dominate Korea to invade Japan, it would look similar to Koryeo: a slight dynastic "consensus" by landing half-Korean, half-Chinese monarchs to power, with indirect political control, along with complete military control. Such a scenario may allow a Japan invaded by China and subsequently ruled by it.