Anything is possible I guess.
It's amazing what medicine can and cannot do. While it's great to think that medicine and diet and exercise arranged in some unique fashion will place Schizophrenia/Bipolar into remission, there are an incredible number of variables in play in mental health and physical health overall, and they seem to vary in everyone.
So I take most of these articles with a huge grain of salt. Perhaps this is a nudge in the right direction, and maybe it will encourage further research into diet and mental illness. Personally I would support this as I'm far from enthusiastic concerning psych meds in general, but unfortunately they're the best we have it seems.
And yes, if you have had manic episodes, taking an anti-depressant should be done with care. Actually I would suggest doing everything possible and would recommend using any psych medication as a last resort for any health related situation.