Yes that is true, however, the carbon you put in your filter is there to capture these water soluble particles, in addition to stripping some of the other natural antibiotics out of the water in your tank. This allows HITH both a place to feed and multiply as well as a "safer" environment to thrive.
Now as I said, the presence of filter carbon doesn't cause HITH, but Hex is present in all aquariums and in most fish intestines. If carbon removes some of the natural elements that keep hex in check then it is quite likely that activated carbon does cause HITH indirectly.
Well the way carbon works is by capturing charged ions in the water. If the carbon is left in for too long it would become electrostatically neutral and be unable to hold more toxins unless releasing some to capture other more strongly charged particles.
I don't think carbon leaches toxins into the water, I think poor tank maintenance allows old carbon to leach toxins back into the aquarium.
The filtration companies also make products that deal with the maladies introduced by carbon. And carbon is the cheapest media you can get.