The health benefits of a diet high in fruits and vegetables are supported by very strong science.
We've also had some very good recent research into vitamins and other antioxidants in pill form. The news there is not so good, it seems vitamin pills may be worse then useless.
With cancer it's more complicated. Some vitamins like C and D have proven anti-cancer properties but in doses that would kill you. In low doses C might actually be helping some cancers, as they can use it as well as healthy cells.
In summary:
Backward? No.
Oversimplified? Yes, it is complicated.