No... it's just -different-.More unique than now. Is objectively true.
Completely unique? No, because Wizards abandoned negative attributes, and the type of variety we saw in prior editions.
It's certainly more unique, to have Orcs get Str, and Halflings get Dex, than both getting 'whatever is best for the class you pick'.
You cannot get "More" or "Less" Unique. Something either is unique or it isn't. And none of them were unique. They were all templates providing different values for the exact same things in that category, and then -actually- unique separate benefits like Trance or Stonecunning.
You can have them be "More Defined" or something like that... but not Unique.