If I see a stranger in letters other than mine, I don't break my neck to acknowledge their affiliation; its just an interesting fact. If its a soror or a bruh, I will acknowledge the affiliation and make conversation, if possible.
One day, I was introduced to the daughter of one of my mom's coworkers. I was wearing something with my letters on it and she said, "Oh, your a Delta. I'm a ___ ____ ____ . " Then she did
her call to me. I was like

and wasn't sure what she wanted me to say so I just said "Oh".
Now if its someone that I am acquainted with and I am just finding out their affiliation, I think its cool. I found out that a coworker is an _____ ____ _____ and I was surprised because she didn't strike me as one although I know several. Its all good because we tease each other whenever we run into each other.