I think it is possible for someone to desire their friends to know a thing about them even while knowing that their friends don't actually care about that detail.

Maybe a subtle unconscious change about how one is thought of might possibly be a result? (I don't know, but I don't think I can rule it out as a possibility that could be desirable to some.)

Oh, you know my friends?

Awesome.

Hey we're going to grab coffee next friday, you should come along!