I don't think wanting women to cover up equates to perversion but we can agree to disagree.
Perhaps if women are told they need to cover up they will subconsciously feel it's shameful and they will form a less positive opinion of breastfeeding. That and women viewing other women breastfeeding I'm sure sets off some sort of chemical reaction in their brain which inspires them toward motherhood, and when their minds are focused on motherhood, perhaps they can subconsciously understand how other hedonistic pursuits are empty.