Being identifying with one race while born in another

This may not be a recent case but there was this lady who said that she is African American and she identifies with them with having grown up with their culture and also gotten a job at a national Black civil rights organization only to be exposed by her parents that she was born white. Now she still insists on being a black (albeit a light skin one) and she has kept on going this charade. And by charade I mean, I can you say that you are black just because you are exposed to black culture and raised among them. I have lived in Hong Kong for some part of my life and I love Hong Kong Movies and fascinated by Hong Kong, but I have never said that I am Chinese by virtue of being raised and liking their culture. And there is a name for it too; it is called Transracial which is being identified with a race or culture different than from which one was born in.

For me it does not bother me a bit where you consider yourself one race or the other. It is a free world and if you want to identify yourself with another race or culture which is different from your original one, be my guest. But the fact is do the people of that culture accept you as their own even when you literally worship them. Even when you become immersed in their culture totally, I have strong doubts that the people from that culture will accept you as their own and that is the dilemma they will face when and if they decide that they want to move to the country to which they are currently identifying themselves. Even if they stay in the United States, they can call themselves whatever they want but they will still be treated on the basis of their birth not on the basis of what they think they are currently.