I have seen this question on other forums....lots of interesting if not a bit misguided thoughts...
Some points to consider:
Never use something that is not specifically designed for human consumption, i.e. make sure your unit is made for drinking water. Never use ro/di water intended for industrial use.
I doubt you get much "leaching" out of minerals in your body. If you calculate the concentration in ppm you quickly realize that both tap and di/ro water are very hypotonic compared to our body. In addition water is absorbed into our system and managed by a complexed renal system that is modified by many factors such as ddavp,the renin-angiotestin system, blood pressure and more. It does not just pass through our GI track.The kidneys do a pretty good job of holding onto things you need. Humans dont just drink water, we eat food, which provides most of our solute load. Just take some of those "chips" you love and dip them in water with a tds of 0 and see what happens

If you drink just water with no food...guess what...you will infact sooner or later (in about 4-6weeks)....DIE. It does not matter if it is tap or ro/di water.
All joking aside, I was watching a show about water processing a few years back. After they had purified the water and used ozone they stated that they did add minerals back in because "pure water" tastes funny to people.
I laughed at my swim team reunion when one of my friends was telling me about how bad tap water was as he drank 3 shots of vodka

When I'm thirsty I drink what ever is around...including water from a running hose



fyi you can infact get water intoxication from drinking large amounts of water rapidly, either tap or ro/di.