That is one of my pet peeves. There is no proof that antioxidants are good for humans. Years ago I read an article by a researcher that traced the origin of the idea to... nowhere. There was never any research that indicated they are good for us. It's one of those things that was injected into a news cycle and was picked up and repeated over and over again.
My girlfriend can attest to my going on tirades when a miscellaneous holistic "health expert" shows up on morning talk shows to inform daytime tv viewers that if they put an onion under their bed and only eat foods that don't contain the colour white that they'll reduce the "toxins" in their house and their body. (fictional example) Those mysterious boogeyman toxins... gotta reduce those toxins. Oh and you're selling a supplement that will take care of all of that for me so that I don't have to walk my pocketful of okra around the block three times before soaking it in a bath of cold milk I must change every day if I want to stay healthy.
I'll stop now, but I could go on...
http://nutritionstrategy.com/coffee-good-or-bad/