The combination of studies shows not that "antioxidants are bad" but that we don't understand how to isolate their benefits. Diets high in antioxidants from whole foods (dead plants and animals), rather than nutraceuticals or supplements, are consistently linked with health. Apparently it's not so simple as isolating one compound -- we need a balance of chemical compounds coming in, working in concert.
(It's like we evolved to thrive on real food instead of pills! Weird!)
Different soil conditions could lead to deficiencies -- if you only "eat local" you might have to pay attention to selenium or magnesium (http://tin.er.usgs.gov/geochem/doc/averages/se/usa.html) due to geography or geology. But setting aside deficiency, what chemical would we want to load up on in isolation?
(ok, caffeine comes to mind. but that's not really for health, and I get it pretty well from ground plant products.)
I'd like to see a study that dismisses labels like "organic"/not and look for the nutritional content AND poisonous content.
That way, we'd find the best current/future farming methods available instead of this inane religious branding war between marketing giants.
Unfortunately, the idea that anti-oxidants are good for you has always been scientifically shaky, and as more studies have been done, it's increasingly looking like anti-oxidants may be unhealthy.
So, the message of this study is, avoid organic food?