Well...not sure what you mean. The food must remain cold at all times. As soon as the food comes out of the cold, it will spoil...and introduces plugging of the line. Maybe you can draw a picture of what you are thinking
. The food line where the injector is would need to be cleared completely so the food would not solidify or spoil. You could introduce a fresh water clear after a feeding, but then you are using up a dosing head for that function. Also, it takes up more physical space for the venturi to be out of the refrigerator.
As noted in another response, thermoelectric refrigerators do not get cold enough and do not remove moisture. Also, this is why I do not use a freezer...plus the freezer takes up space at the top of the refrigerator.