If you are a computer then they are in-fact unique, since every hash has a different value. But that in not what is the definition of unique for humans. Since we are humans talking in English, then we have to agree on some definitions:

Unique - 1. existing as the only one or as the sole example; single; solitary in type or characteristics: a unique copy of an ancient manuscript. 2. having no like or equal; unparalleled; incomparable: Bach was unique in his handling of counterpoint. 3. limited in occurrence to a given class, situation, or area: a species unique to Australia. 4. limited to a single outcome or result; without alternative possibilities: Certain types of problems have unique solutions. 5. not typical; unusual: She has a very unique smile.

By those definitions, their planets are not unique. If your definition of unique differs from those established by the language we are using, then you have to specify this.