Joshua,
As purely a back variation regardless of brand advertisement, the "no quotes" variation IS scarcer. Your numbers noted that you have tracked 29 Polar Bear backs (which are all the "no quotes" version) and 22, 17, 11, and 13 respectively of the other backs, all of which have the quotes. So the total of "no quotes" versus "quotes" is 29 to 63, thus making it 2-3 times scarcer as a back variation.
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