Child's privacy

This question comes from Randy Cohen's New York Times column (registration required):

After my niece’s 1st birthday party, her parents sent videos and I uploaded them to YouTube for family members to view. My sister-in-law sent me a stern note saying that unless images of my niece are accessible only to people approved by her and my brother, I may not post them. YouTube lets you restrict access, so I complied, but isn’t her request overprotective and unfair?

How dare your sister-in-law want to protect the privacy of her daughter? The nerve of that woman!