During the fat loss people do not take enough nutrition and thy can not maintain strength because requirement of the body does not fulfill, so the body become weak. We should take all the nutrition during the fat loss that are necessary for the human body. I hope this will help in to maintain the strength.
I'm in a moderately different camp in that I'd advise high protein, moderate fat, moderate carbs. Not quite Zone, but something that may resemble 1/3, 1/3, 1/3 of each macro give or take a few grams or %'s along the way.