There are a lot of chicken and egg things going on in atmospheric circulation. It is often hard to tell cause and effect apart, which is chicken and which is egg? I suggest that most thundercloud diagrams that you see on the internet are incomplete and my diagram below is much closer to the truth. 
I suggest that enough air is going "missing" on the warm side that we could say that the cloud is at very least maintaining the wind and perhaps adding to it as it converts moist air to dry air and pumps some air high into the atmosphere thus shifting the area of phase transition from left to right. I have nasa video of hurricane timelapse that may support this. I will put it into the next comment. I would like people to check it out and make suggestions and criticisms. Thanks Brian.
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