The relationship between the Olympian family and their parents was not shown either. So this is also purely a fantasy.
Kronos cried when Rhea gave birth to his first child. Although Kronos cried when other children were born, only Rhea and Rhea's most trusted servants saw it. The Titan was happy and joyful when he had children. Kronos took care of Hades and the other children himself in the first weeks of their birth, and then he gave them to his wife, who was recovering from childbirth during those weeks.
This is the birth of Hades. Kronos was very happy at the time, and he showed the baby to Eirene before returning to his wife. I mentioned earlier that Eirene was not personally acquainted with Kronos and Rhea's children. In fact, when they were born, Kronos showed them to her, but she did not interact with them until she was found by Adamas in the temple.