That sounds like it's nowhere close. Choosing to not self-identify with one's country of birth or naturalization is very different from the fear of rejection discussed above.
It is not just fear of rejection, I actually got rejected.
Example: My parents live in a neighbourhood where most people are mixed race, but heavily black (ie: people have a obvious brown skin, and have facial features and bone structure of black people).
More than once when walking on the street, I had people follow me with weapons or dogs, and one time when I was buying coca-cola in a bar on the neighbourhood, some people playing snooker stopped playing, made a circle around me, and said in a threatening tone that I was "not from here", I then pointed them my house (it was distant, but visible), then they left me alone.
Similarly, when I am visiting white-heavy areas, specially if people are slavs/nordic (russian, swedish, etc...) they also treat me as an outsider, for example they prefer to talk to other white people.
Or when I am with my uncle (that is more dark skinned) in my grandpa car (he has a expensive car for brazillian standards, a Toyota Corolla), police stop us, thinking we are thieves or thugs.
