as the TAT probe freezes the indicated temperature increases toward zero - ice temperature in a static airflow
A plainly incorrect statement - as it presumes that ice will be at zero (presumably Celsius) at any ambient temperature!!!
You are evidently unaware of the physical construction of a
Rosemount TAT Probe and its heating system. The phenomenon of rising temperature is the result of the blockage of the air flow through the probe (and there
is a flow - the air is not brought to a complete standstill) and subsequent heating of the detecting element by the probe's own anti-icing protection. It takes a lot of energy to raise the temperature of a probe that is air-blasted by air at -40C degrees C, to -5 degrees C, but with a blocked probe that is exactly what will happen. The ice will not penetrate into the sensor cavity and the sensor will be heated by radiant energy.