Are tightening moments temperature dependent?

Hello! I asked myself if the information about tightening moments of screws etc. are temperature dependent. When it was relatively cold a few days ago (around 0° Celsius, partly under) I had to do a few things on the car. My torque wrench (10 year old, inexpensive model from the discounter) was out for a long time, just like the screws used. Theoretically, the expansion of the metals would have to be reduced by the low temperature. – Screw becomes shorter – Bo the screw is screwed into, the thread becomes tighter there – housing of the torque wrench including the spring becomes shorter (but there may be different coefficients of expansion within the key due to different materials of housing and spring)… Sure, this is all only in a very small measure. But in my opinion this would have to play a role. How do you see it? If I want to tighten a screw with 30 Nm in cold, for example, it would have to play a role. I aim at the 30 Nm under the mentioned conditions (assuming the torque wrench was very accurate). Or do I go under the 30 nm by the temperature rather? What does this look like if the same situation in the desert were at extremely high temperatures? I am curious about your answers.