I need to learn more about this, I don't have a strong belief. If I understand correctly, this is basically the idea behind the free radical theory of aging (FRTA). One interesting variant of that idea is in the article I linked above, which suggests that the focus should be on "mitochondrial membrane peroxidizability index" rather than antioxidant activity or free radical production.

It seems weird that sugar seems to cause problems in certain populations of people, but not others.