but if everyone is unique then no one is unique, does this apply to exceptions?
If everyone is unique, everyone is still unique. I think you're saying then no one is unique because it sounds like since everyone is unique, they're all the same again, since they all share being unique. That's not true. If they all have different hair colors, they're not all the same just because they have unique hair colors. They're still unique but what makes them unique just isn't the uniqueness in itself.
The exception questions seem more vague.
"if everyone is not the exception to being a member of the Communist Party, is everyone the exception to being a member of the LOCAL_DANCING_CLUB?"
If you can be a member of both it doesn't follow logically
"if everyone is not the exception to being a member of the Communist Party, is everyone the exception to being a member of the Communist Party?"
Clearly false, if exception is taken to mean not being a part of the majority.
"if everyone is not the exception is everyone the exception?"
Ok I'll try: If everyone is not the exception, they're all conforming to the majority on whatever issue it refers to. So they're still not an exception on that issue. They can still be exceptions on other issues where they're not all the same but it doesn't follow logically. The last statement could also refer to everyone being an exception in that they're all the same on one issue, unlike all other issues where they're different, but that also doesn't follow logically.
Tl;dr the answer is no.