Replace "Health Benefits" with "Nutritional Benefits" and it's ok. You certainly won't starve eating non-organic food. And you'll get pretty much the same level of basic nutritional elements (vitamins etc.).
But you will get more pesticide contamination, more genetically modified food, more additives and a few other nasty bits and pieces. And you will create more impact on the environment.
And keep in mind that this was a meta-study, just looking at existing publications. Their selection criteria pretty much guaranteed the domination of conventional food studies carried out by the industry.