I use my diseqc motors down in the -30C range and they work fine, just a bit slower. I did replaced the grease inside to a much higher grade that remains somewhat fluid at cold temps, the grease that comes with them literally freezes when it gets cold (maybe it's water based?) made for the tropics I guess.
If the grease is too stiff it overloads the motor, dropping the voltage, and may reset the unit to zero at the position it reset at.
Did the same with my linear actuator on the C-band dish many moons ago, it wouldn't work either at cold temps but works ok now.
Yes I try to minimize motor use at really cold temps (below -20ish) just because it is still likely harder on the components than when warmer.