Well, as I said a while back, Batman and Arrow are rarely shown to really take much of the culture of the area they go to train. In fact, especially with Batman, it's pretty clear he's only there to learn how to fight and then he leaves. Danny's powers are intrinsically linked to a different culture's beliefs. Wolverine does seem to get a pass...but maybe that's because while he tried to adopt parts of Japanese culture...he pretty much always fails miserably at it. He never achieves that inner peace. So I suppose people don't mind because he doesn't fall into the savior trope of being the white man that comes along and ends up being better at the culture than those that are from it.
That said, I need to watch the show to see how much of the White Savior trope this film show falls into, if it does. As to the whole making Danny Asian, I personally think this.
1.) It is possible to do an IF story with a white Danny that doesn't fall into White Savior tropes.
2.) It's also possible to make Danny asian and not have him be a stereotype.
I personally wouldn't have cared if they had made Danny asian because nothing about his character is race specific. But I