Bearfoil
To answer your question about EGT sensor location:
It is a matter of what location is available in a LPT module. The Stage 1 LPT nozzle has hollow airfoils, primarily for weight reduction purposes and not for air-cooling in most instances. As you move rearward in the module, the airfoils all become solid, and there is little space as the vanes are attached to the outer case, and the spaces in between the vanes at the outer case is reserved for blade tip sealing (honeycomb seals). The exterior of the LPT case is cluttered with case cooling tubing that is activated to maintain good sealing parameters at cruise (performance & efficiency). At the extreme aft end, the turbine rear frame serves as the support structure for the #8 bearing and contains the rear engine mounts. Although it may have hollow struts, these may be used for different purposes and would not be conducive for EGT sensors.
So, the Stage 1 LPT nozzle is chosen as the sensor location as the sensors are probably inside the hollow airfoils, not directly protruding into the gas stream.
Hope this answers your question.
Turbine D