In fact the sticker was probably there as a red herring, to give false confidence to the leaker that he had countered the fingerprinting!
I wonder if dazzle patterns[1] on pre-release Xbox Ones had a similar function. If each pattern was unique, you could only hide it by obfuscating most of the device.
[1] http://uk.businessinsider.com/microsoft-xbox-one-leaked-to-a...
A picture of one showed up on a blog as a leak. The leaker had sensibly put a black box over the sticker.
The thing that neither the leaker nor any of the rest of us knew was that each device also had a series of bumps on the top and bottom of the device which uniquely identified it just as effectively as the sticker. He was fired instantly.