When your children "fall" are they still not your children?.. You pick them up and wash them off.. practically.. You may warn and/or forgive them..
There are no words in any language I know of to be "UNBORN AGAIN" or after being "born" to be "UNborn".. physically or even spiritually.. "You MUST be born again" - Jesus.. Being UNborn is UNscriptural.. And flys in the face of the image..
Witness the "Prodigal son".. The father ached for his sons learning phase.. and missed him still as his son.. Witness also his brother.. and all that "hubris".. I guess you buy some people books(bibles) and they EAT THE PAGES...
These are all fine examples, Hose, but they are not applicable. If your children turn out to be just unlike you and rejecti you, and accept someone else as their father, they are still your children but they are not yours, because they don't want you.
People have gone from believing to unbelieving, from faith to atheism. So, yes, one can be "unborn again."
And, a major difference between us and your analogy, is that we do not specifically create some children in order to disown them and intentionally send them to their deaths, as the Deformed theology teaches or implies.