So many external variable factors on health in these studies, I still have not seen a strong case that drinking a zero calorie drink causes someone to gain weight. Or that the additives in diet drinks cause long term detrimental health affects. I chalk most of it up to people not liking the names of the some of the chemistry sounding ingredients.
Kind of like the generalized case against GMOs. Assuming that something genetically modified in a lab is somehow worse than something genetically modified by cross-breeding over time. Same end result and the lab version can be more precise with fewer unwanted side effects.