The Stanford study also found significant differences between organic and non-organic in pesticide residue and antibiotic-resistant bacteria (in chicken & pork). I don't understand why these are considered to be unrelated to health in press releases like the one you linked. As they say, "the clinical significance of this is unclear", but I think that's because we haven't studied it.

If you buy only the tastiest plants and animals I will guarantee you a healthy diet.