Yes, yes you could. I'm running ethanol in my loop right now. You'd have to let the Dew go fully flat to avoid bubbling and you might have some problems with corrosion and algae/bacteria. Add some anti-corrosive, use the same metal for all the components, and definitely add a biocide since it's very sugary and prone to bacteria. Consider a diet version as it has less sugar.
because most food liquids will start to change the state in one way or another.
some may become less liquid -like milk.
some will go through separation of ingredients - food color, sugar etc. that staff will block the microfins
and everything with some form of sugar will have a bacteria grow which again blocks the flow.