In my case the humidity in the workshop is around 35%. At least it was the last time I checked. I have a hygrometer in the workshop together with the thermometer. The wood dries quickly when cut into planks/strips.
I dont think the humidity really changes a lot with cyclic heating, but you increase the capability of the air to hold humidity when you raise the temperature. Unless you bring humidity into the shop and the workshop is dry, I dont think it is a problem.