IMO - It's not that I wouldn't want them to never meet another XXXX, but that they are individual enough to not be called by their first name only. When I was growing up, I was the only
Olivia in the whole school/town (hard to imagine now, i know). But I liked having a recognizable, but individual name. I knew that if I heard my name being called in a grocery store, it was for me. I'm sad that is no longer the case.
I know that some people like having a common and strong name. But that is not what i like.