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Independent polls including from Pew Research support the 97% figure. I believe Pew polled at north of 90%.

High polling numbers are not automatically suspicious.

Opinion polling is only valid in places where you can freely have opinions.

A whopping 88% of Crimean residents thought Ukraine should recognize the result of the referendum, according to independent Pew Research. [1]

Unless you can refute an extremely trusted independent pollster, I'm inclined to believe the statistics rather than anything subjective.