thanks for the prompts, dot...here is what immediately comes to mind...
Everything about me (and you, and everyone else) is unique - body, cell arrangement, the way we think and act, the way we express ourselves, experiences we've had, relationships, our tone of voice, etc. Each grain of sand on a beach is unique, each blade of grass, each woodpecker, every McDonald's burger and laptop (despite the attempt to make them uniformly).
In this sense, everyone and everything share a commonality of uniqueness, so it (being unique) is not scarce at all...it's everywhere. Being unique is not unique to anyone.
I've never cared for the world "special" (I'd have to think a little more about why that is), rarely ever use the word (for some reason it makes me cringe), and I don't equate it with unique.
Something being important is a value judgment, and I suppose that each person values things in their own way. Since I view everything I can perceive as unique, I don't really value it as important or un-important... things simply seem to be that way to me.
In the monetary world, scarcity implies value, but not in the world as I see it.