I have! It's one of those things you'll need to try, so you get to know the properties of the inks that you have. Distress reinkers are formulated to hold their color when blended out with water. Some dye inks will break down into their component colors. You may find that you prefer the breakdown - I have an Adirondack Denim reinker that splits out into beautiful blues and purples (HERE
is a sample). If you're unsure how a reinker might react and you have the ink pad already, tap the corner of the pad on an acrylic block to make a mini palette. Most dye inks aren't lightfast, so be aware of that if you decide to paint something that might be displayed for some time.