With absolutely no thought being given to this phenomenon before, nor having read any expert explanation, how about:
Given the auto brakes are trying to give you a fixed level of retardation/deceleration, they must surely add more braking effort to a faster wheel than a slower wheel and, therefore, get hotter. As the aircraft weather-cocks into wind the downwind wheels will be on the outside of the turn into wind and will accelerate, relative to the upwind wheels. Now those wheels are going faster, the auto brakes have to apply more braking; ergo......