You might also want to think about the problem in terms of opportunity costs vs. future benefits.
I am a Romanian native, and looking back to my high-school years, I'm grateful that I was taught English (the world's de-facto universal language) and French, instead of Russian, which had been mandatory until a few years earlier, while my country was under a communist regime.
If your child spends X hours a day listening to Danish or Kurdish, that's X hours a day spent not listening to English, German, Spanish or French. There is a well-calculated return on the investment of learning a language:
The annual ROI for native English speakers in the US on learning a foreign language is small: Spanish 1.5%, French 2.7%, German 4%. But only 1% of Americans claim they speak another language fluently (which suggests the number who actually do, is even smaller). 1/6 of the time spend in high school goes to learn foreign languages. So overall, learning foreign languages is an economic waste.