As a chemist I can say that doesn’t really make any sense.
DI water is just water with the mineral ions removed. Neutral organic compounds may still be present. The lack of ions in DI and distilled water can cause extraction of metal ions from carbon steel surfaces due to the low hardness of the water. Nothing especially corrosive about it.
Distilled water is going to have mineral ions and almost all organic compounds removed.
DI water can be very pure with additional filtration and is what is used in most industrial situations that need pure water because it’s more economical to produce compare to distilled.
Generally distilled is going to be easier to get for most people and will have the best purity. It’s therefore the preferred cooling liquid.