Have you tried tumeric tea before? How does it affect you? Most herbs and remedies are done along with regular eating as they have a synergistic effect and it's absorbtion is buffered by digestion of other foods. When you are fasting your system is operating differently than when it's having to digest food. You could very well pee most if not all of it out. Then there is the change as you already suspect/know that it has a very good probability to affect the "simplicity" of how the MC works.
What do you think the tumeric will do for you taking it while MC'ing than doing it at any other time while eating regularly? What is your goal? Is it to cleanse the system in the "tried and known" best efficient way? Maybe you're feeling lucky huh? ;+D