Dave Chappelle prefers not to talk about his religion, Islam, publicly because he doesn't want it associated with his own flaws as a person.
Ruth Negga admits to being very territorial about her identity because it's been "hijacked by so many people with their own projections." And that she doesn't trust anyone who's identity does not shift.
Both these perspectives and their lives in action contain immense wisdom.
You are what you claim to be. And it is ok, necessary in fact, to protect that.
And on the other side of the fence, there are people who do not understand the pain of having one's truth denied. Careful around them. And if you do understand that pain, notice the shields people have up about themselves.
And respect them with your life.