If the family wants privacy, it is something that should be respected.
However, the very moment police released JAZ's identity and gave his full name, it should've been known what would follow. Frenzy! The police and the families should've been aware of that!
And people right away started digging for information, taking some wild guesses and hurting remaining family members, who most likely didn't have a clue about this precious child's existence. That way it was found that certain Zarelli was the father and his wife the mother. But then, it could be maybe his brother or a sister. Or maybe he was adopted out right away or sold. Or maybe he lived with his mother and her new husband.
I wanted to say that the police should've waited to know more, and then to disclosed his identity. Unless they wanted to generate more tips...
JMO