[@pugbutter] What you're describing is the label connection.

(Some) People in this day and age cling to labels because they are too weak to represent their own thing, and need to rally under a label to feel like they're a part of something bigger. Or it can go the other way, and it makes them feel special because of how exclusive a label is. You see this a lot with tumbler lard whales and their 50 precious "genders."

It's not always this insidious of course. Some people just like the idea of belonging to a group of "elite" people, and feel their labels are interesting reflections of their character.