It's very clear to me that many people feel safer when they can apply clear labels (so-called "identities") to others and to themselves. Belonging to a specific group is very important to them: it feels like their essence (and they would feel lost without it).
Most people would rather belong to a mainstream group (safety in numbers...), but some have to come terms with the fact that they belong to a minority group, because their inner characteristics just don't fit. It can be both a source of grief, and a source of pride (about being gay, or black, etc.)
It's also very clear to me that some (rarer) truly free-thinking individuals see labels as prisons, and avoid them like the plague (... seriously, what could be worse than living your life following a ready made template?).
These free-thinkers are aware of people's different characteristics, but don't believe these characteristics define who you are (they shape your lived experienced, for sure, but they are not you: "you" is the choices you make, not the cards that you were dealt by fate)
Then there's fake rebels, who feel too "special" (narcissistic...?) to be part of a mainstream group, but are really too conformist to be true free-thinkers, so end up zealously embracing the orthodoxy of a minority group instead.
They are big on pride, and loud about grief... even when they don't actually possess any of the characteristics usually associated with membership to this particular minority group.
A classic example would be people who invent themselves black ancestors.
But I'm sure we can think of other examples...