Would You Give All Pets the Same Name?

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I guess it'd make calling and remembering a bit easier, but what's your take on naming your pets the same name as another?

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Swarovski Crystal Brush: Spoiled Sweet or Spoiled Rotten?
Swarovski Crystal Brush: Spoiled Sweet or Spoiled Rotten?
Fursions: Spoiled Sweet or Spoiled Rotten?
Fursions: Spoiled Sweet or Spoiled Rotten?