Well yeah, you'll be adding a potential blockage area for the drain (there's usually a large head loss associated with the chiller), which would overflow the display if it happened (think snail or something through the small diameter tubing in the heat exchanger). Also, the chiller has an optimum flow rate, which may be hard to achieve without active pressure on the system (the only force would be the height of the water coming out of the drain, which would likely not be enough).