Ambient temperature sensor can deviate from actual temperature in many scenarios. It can read hotter or colder after a period of idle sitting, or read hotter some time after driving due to heat saturation coming from hot engine bay. This should generally be withing +/-3 degrees Celsius. During driving, these sensors are very accurate as there is constant airflow over the housing. That said, there shouldn't be such a large deviation in morning when car has sat overnight and modifications dont play a role. These temperature probes are cheap so I would replace it to eliminate possible fault with that.
Unless you drive a hybrid with eclectic A/C compressor, then there is no cooling as part of preconditioning. Above 15c/60f, preconditioning ventilates outside, non-conditioned ambient air into vehicle cabin. Below those temps, you will get heating if you have Auxiliary Heating package.
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