I have enjoyed Korean films and miniseries for good long while so I just see international recognition as organic and deserved. There has been a sort of Western cult following of such things.
Chinese billionaire tentacles in things like Hollywood is a separate matter.
And large swaths of Korean entertainment is actually banned in China for political reasons. (A 2017 US missile defense deal prompted it.)
https://www.vox.com/latest-news/2017/3/3/14795636/china-south-korea-pop-culture-kpop-attacks-thaad