You are oversimplifying what is, yes, a complex issue.

What is happening in Asia and elsewhere is non-western cultures "appropriating" what they admire in western culture, adapting it to their tastes and needs, and leaving the rest.

And lots of immigrants to the west still listen to music from "home", still watch tv and movies from "home" , etc. . They prefer them to "western" music, tv, movies, etc., and thanks to cable and satellite and the Internet, it is a lot easier for them to stay immersed in that world than it was a few decades ago.

Did you know when early anthropologists and musicologists tested the reaction of Africans to jazz, they were shocked to find out Africans were puzzled by it, despite its African roots.

The tastes of people are largely based on what they are familiar with, and they will be attracted to things that are somewhat new, but not totally. Tastes in adults evolve gradually, they don't change drastically overnight.