And one of the things about an elimination diet approach is that it won't elimnate sugar - it will eliminate the other stuff that goes hand in hand with sugar in almost all purchased products. While we try to sensibly limit how much sugar our kids eat, as you would at any time, sugar is not one of our strictly controlled foods at all (colours, flavours, preservatives, salicylates, amines are very strictly controlled). Probably compared to a more typical diet they do have a low sugar intake, and certainly they have protien at every single meal.