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It's interesting that you mentioned "white cultural dominance" in the film industry; however it might not always be the case if we consider where such dominance takes place. As I wrote in my original post, the movie is apparently very popular in the US, but not that popular in other countries. Indeed, whether the book/movie is widely known of at any particular place (country, region) also depends on many other factors (culture, language, political reasons, etc) Therefore, what we consider "white cultural dominance"  might only be relevant with regards to 1. what we find in the U.S, but not in other places (more Japanese might know about Battle Royale than about Hunger Games, or maybe neither of them catch that much attention in Laos, for example), and 2. what we find online: there might be other ways in which Battle Royale have influenced the society that we are not aware of. In addition, most of the information we have about the world now is through Internet, so the time of production plays a role too if we take into consideration how the role of internet has changed dramatically between 1999 and now. Perhaps one of the reason why Hunger Games is so popular now is because we have more social media means to talk/debate about it. 

Anyway, it would still be interesting to see if there's actually other evidence of the "white cultural dominance." To me, it seems quite apealling but at the same time it's hard to know because there are so many aspects of it that are subject to bias and individual differences.