I suspect that if you were to investigate who was behind this study, it might well be either someone, or someone funded by people who make money supplying hormones, antibiotics, and pesticides to non organic corporate farms.
I buy organic milk, eggs, and meat primarily to avoid things like growth hormones, antibiotics, and pesticides which cannot be washed off these products like they can with fruits and vegetables.
Studies like this will never be able to capture a long enough period of time to determine whether avoiding these substances in your 20s, 30s, and 40s helps you avoid cancer in your 50s, 60s, and 70s.