This is exactly right. Kiln dried wood is typically prized for it's stability and use in construction. This may be preferable in pieces work that would get laminated or otherwise glued together, however if it is too dry, sometimes even the moisture from the glue can cause swelling and require extra drying time.
I typically prefer to turn in air dried wood. It tends to have the least amount of warping, especially if the cut ends were waxed or otherwise sealed. I typically worked with wood that had been dried slowly, with the bark still on. This was ideal for turning. With moisture just around 12% - 14% I was most comfortable.
Most large burls I know of are air dried, and then resawn into more manageable pieces.
However, there are techniques to turn green wood EXPECTING it to warp and twist, and doing it in such a way as to not crack. Those were the most beautiful, organic pieces.
There are pros and cons to all kinds of wood, but I find with patience and a steady hand are often the limiting factors compared to the moisture content. Each piece of wood should be selected for the application/project in mind.
I wish you good luck, and large piles of woodchips.