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Hi Alex,
whilst I don't use one, what I can suggest is that the temperature compensation is used to account for the change in optical path length caused by temperature changes in the telescope materials and more likely manifest in the tube assembly. That is the way it would be modelled from first principles using the coefficients of linear expansion of the material/s.
I'd therefore try to monitor the tube temperature, typically the longest component, being careful to discount any air temperature/wind effects, by careful placement of the sensor on the tube assembly and insulating it so that the heat transfer is largely form the tube side, not the environment.
Best
JA
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