"sugar in fruits is good for you but processed sugar [...] is not"

Flawed premise.

Sugar is sugar. Fructose is no better or worse than other sources of sugar. Drinking orange or grape juice is in effect just as bad as soda; they contain similar concentrations of sugar and virtually none of the things that make fruit healthy.

Eating fruit is good for you, to a point, because it contains lots of water, fiber, and phytonutrients.