So wine coolers will not have a constant temperature, they are a fridge after all.
They have cooling phases and warming phases. The cooling phase is when the compressor is running to allow cooler air to enter the wine cooler and the warming phase during the off period.
Wine coolers work on the theory that it takes a long time and a lot of energy to change the internal temperature of a bottle of wine IE liquid. So, by ensuring the temperature is maintained at an average of 12 degrees C, its absolutely fine for the wine, when the temperature fluctuation is +/-2 degrees C.
The wine cooler will regulate the humidity between 55-85% usually and in most cases were the humidity is at the lower end, the wine cooler will include a water tray to increase the water density in the air. The way the wine cooler regulates the humidity is by allowing the excess water molecules to condense on the back wall of the wine cooler, during the cooling phase. If you have it set to a low temperature, the water may freeze. But during the off period, the ice or water will 'melt' and drip down the back wall of the wine cooler, here there will be a water passage which leads to a small container next to the compressor. As the compressor is the warmest part, the water will evaporate of outside the wine cooler.
The humidity levels will then therefore be kept at around 70%, its only when the door is opened frequently that the humidity will rise inside the cabinet.
From our readings, the humidity averages between 65 and 75%, but the main thing is that its not too dry (approx. 55%) as that's when we will start to get issues with the corks drying out.