Assuming that you are already balancing carbs and protein, I think increasing fat makes sense. I can't agree with increasing the amount of carbs to higher than the amount of protein. Maybe Mike thinks you're doing this LC?

IIRC, the reason Bill Phillips says to eat low fat is to force your body to burn body fat instead of dietary fat. Evidently your body has at times dipped into muscle stores for energy too. That's always a risk with a low calorie diet.

I agree with you that increasing fats might help and/or take complete advantage of your free day to convince your body that it's not starving.