No no no, the baby had a rare genetic defect that lead to his little skull not being able to grow. He lived for about a week or so I believe. It was extremely difficult for Prince and his wife to deal with, and they were stuck doing this interview that had been arranged and publicized before the birth, before they were even able to come to grip with what had happened.
So they made pretend the baby was alive and showed the baby’s room for all to see with Barbara Walters.