Jay, like the others said, there are already lots of people trying to develop white ink for the various markets (inkjet,
DTG, etc). So far they have only had moderate success.
Any colored ink is
transparent. When you print it on white paper, it colors the paper. What happens if you print on black paper? It colors the paper, but you can't see it because the paper is darker than the ink.
Because it is transparent, if you print yellow over blue, the yellow will combine with the blue to make green. If it were
opaque, the yellow would cover the blue and just look yellow instead of green.
Also, regular ink soaks into the paper or the shirt rather than laying on the top. If an ink was opaque, it might not soak in as much, and so it could have problems sticking to the shirt.
This is why it is difficult to develop a white ink. A white ink can not be transparent, it has to be totally opaque, it has to hold onto the shirt, you have to be able to print other colors on top,
and in many cases, it would have to work with equipment that up until now has been specifically made to work only with colored inks.. that's a pretty tall order.