It's not so much the light hitting the roots that's the problem as it is the light hitting the nutrient solution. You can actually grow perfectly healthy plants with light hitting the roots if you can maintain a clean nutrient solution free of disease. But it's almost impossible to do that in any practical application.
Keep the wet stuff dark. That all but eliminates algae and other crap like that, which in turn keeps the plants healthy enough to fight off most problems.
Light on the roots can stress the plant, which lowers the immune system and makes it more vulnerable to attack. But slime, fungi or algae is more of a problem of the solution being hit with light than anything else, normally.
Oh, and if you use AN products you'd probably prefer Sensizym. That's their enzyme product (their version of stuff like Cannazyme and Hygrozyme). I think it works better, but I haven't done any side-by-side test or anything.