Note that "burn calories" in this context equates to a pretty negligable number, iirc it's ~25 calories per litre of ice water. You can make the same number with a long stair journey or 3 minutes on your bike.
lets say you drink a liter of 16.6C water per day. your body will heat 365 litres of water to 36.6C. Energy needed is (36.6 - 16.6) * 4200 * 365 = 30 660 000 joules ~= 7328kcal
