I ran the cooker on it's "burn-in" phase for a little over 5 hours. I had 3 chunks of wood forward in the box. It never did get any noticeable smoke although you could smell a smokey flavor in the air. I used the hickory that came with the Cookshack unit.
So, if the wood aroma is evident I expect the food will pick it up whether or not there is any degree of visible smoke.