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Thread depth does not influence rolling distance.
In the contact patch the thread lies flat on the tarmac, so a worn tire has the same rolling distance as a new one.
I tested and found the rolling distance of a fairly worn tire to be about 3 cm less than the circumference as measured over the thread. With new tires the difference should even be greater.
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2011 Honda Insight + HID, LEDs, tiny PV panel, extra brake pad return springs, neutral wheel alignment, 44/42 PSI (air), PHEV light (inop), tightened wheel nut.
  lifetime FE over 0.2 Gmeter or 0.13 Mmile.
For confirmation go to people just like you.
For education go to people unlike yourself.
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