After being sick in high school, I was in remission for several years through college while eating frozen dinners or dorm/cafeteria food - burgers, pizza, etc. I wasn't on any medication.
Maybe I should walk around with a sign and try to sell my "special diet." I could even write a book and make loads of cash.
Just because she's in remission doesn't mean that her remission is from her antioxidants. It could be from her meds, or from sheer luck.