Your statement that a lot of people with children weren't expecting to see "an aging singer's pierced nipple" on TV identifies exactly how subtle male privilege can be. Belittling the physical appearance of the woman is the first step. Did you think the children in question would have felt differently if it was a young woman's breast? I don't know what age of children you're referencing but my guess is they were less concerned, if they were concerned at all, than their parents were about seeing a breast. To children, a woman's body is a good thing. Only as people grow older does it become, for some people, an object of fear or disgust. Besides, which is better for your children? See one breast or watching grown men give each other concussions?