At the risk of oversimplification, the functional medicine community has generally taken a very straight-forward stance on antioxidant supplements. Since oxidative damage is central to a number of the degenerative diseases associated with inflammation and aging, liberal use of antioxidant supplements pretty much always has a positive risk benefit ratio.
Of course, a world view that is that basic is going to have a couple of problems. There was a book in the 1980s (can’t find it now, and I don’t remember the title) that painstakingly made the case that disrupting the antioxidant / prooxidant balance in the body could have unforseen consequences. But until recently, nobody could really tell us what they were.
A new study in the Proceedings of the National Academy of Sciences (PNAS) suggests that healthy adults taking 1000 mg of vitamin C and 400 IU of vitamin E have disruptions in the insulin signaling pathway. Specifically, the antioxidants appeared to affect the ability of exercise to decrease insulin resistance - blood sugars only got better with exercise in people not taking the antioxidant supplements.