Looks like a pretty solid study (70k participants, followed for more than 7 years). If I had to bet, I'd say that eating food that hasn't been bathed in pesticides is probably healthier.

Higher organic food scores were positively associated with female sex, high occupational status or monthly income per household unit, postsecondary graduate educational level, physical activity, and former smoking status. Higher organic food scores were associated with a healthier diet rich in fiber, vegetable proteins, and micronutrients. Higher organic food scores were also associated with higher intake of fruits, vegetables, nuts, and legumes and with lower intake of processed meat, other meat, poultry, and milk.

Which makes sense and highlights why more and longer studies are needed to better dissociate organic food consumption from leading a wealthier and healthier lifestyle in general.