In the discussion on use of carbon brakes (they perform better when hot) it should not be forgotten that hotter brakes inevitably cause hotter tyres; which is undesirable, whichever way you look at it.
Only in the case of a thermal, usually caused by a heavy hot aircraft that the PIC is determined to make the first turn off on well after the aircraft has made it to the gate. Hell hot tyres perform better, ever watched a drag race or NASCAR?