Hi @stefano-quantic ,
You can see the temperature channel in the RT1170RM:

About the raw ADC value to a temperature in Celsius degrees., normally, you can use the real test result to check it,
eg, 20 degree->ADC data
30 degree->ADC data
...
then you can use draw the wave and calculate the formula, you can use that formula in the code and get the real ADC data related temp.
This is my own experience when I design my own project.
1) How should I convert the raw data to Celsius degrees?
=>Answer: test, get formula, then put to code to calculate it.
It is determined by your own algorithm.
2) Should I read the differential temperature sensor, to get a sensible, absolute temperature reading?
=>Answer: To RT1170 chip IP, no, it just give you the temp ADC data, no directly temperature .
3) What are the two analog test bus signals?
=>Answer: should be the internal test pin, no detail description about it, you can ignore it.
Wish it helps you!
Best Regards,
kerry