I'm not sure what it is that you are having a hard time believing. There is a pressure difference on either side of a moving turbine blade, but the turbine doesn't actually create this difference. The wind blowing against the turbine creates this pressure difference. The wind itself is created by large scale differences in atmospheric pressure. Temperature differences don't create wind directly, but create pressure differences that then produce wind. A difference in pressure will create wind whether there is a difference in temperature or not.

Difficult to answer.Thanks for the useful analysis.