i don't really think that they are related. i mean the only reason that narutos monster is called the nine tails is because it has nine tails (stating the obviouse)
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i mean the monsters are named after how many tails they have. gaara's monster has one tail, and is named appropriately and there are 7 other monsters out there with the sequence of tails all the way to naruto.so the fact that naruto's monster is named nine tails is more of the fact that the author didn't want to make it too confusing.