your all making it far more complaicated than it needs to be.
TC tyres are belted, as they are expected to achieve a far higher RPM (much smaller tyre diameter), so to achieve a high speed, the tyre HAS to rotate at a much higher RPM, and with the contact patch being the important aspect of a TC tyre, they belt it to stop the tyre growth around the center line of the tyre, so grip is not lost.
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