
The palace life is hard enough as it is. Being royalty is not always about fun and games, it's worse than trying to survive in the wilderness. Trying to survive with all the everyone being in competition of being favored by the king, trying to raise to power and looking for allies among the ministers, especially when your two most trusted allies end up leaving you to fend off for yourself.
With those already being a struggle in their everyday life. Being trapped in a cage with no means of escape, where the only choice of escaping is death. What much more if people are wanting to kill you left and right? How about suddenly being pinned for something you never really did do?
A dragon's child is susceptible to suffering and sorrows. It would depend if the seed would choose to become a Phoenix who would rise from the ashes or become food for the scavenging wolves.

