Hmmmm...rather interesting. The TULIP doesn't say this. I don't know if I'm correct that everyone truly wants to be in hell. We are children of wrath but God saves us from this condition by His grace and mercy. What I do know is that unless God changes our hearts we will never wish to be around God. We may not wish to be in hell, but we certainly don't wish to be in heaven.
As you know I was using your structure:
In the end everyone will be where they truly want to be. There won't be anyone in hell saying, "I wish I had listened to Aunt Mrytle so I'd be sitting on a cloud somewhere playing a harp."
But with:
I don't know if I'm correct that everyone truly wants to be in hell.
Ok, we can abandon that structure and I can re-ask the question:
Is it taught that their eternal fate is predetermined: That they may have be born for hell no matter what?
I'm asking this again in the context of Calvinist teaching to kids. Is this taught?