Do you deny that a person can be blotted out of the Book of Life? Both the OT and NT make the claim.
Regards
God can do anything he wants. If he wants to write my name in the book of life and blot it out later, there's not a thing I can do about it.
I can trust that he will not do it for the following reason:
My sheep hear my voice, and I know them, and they follow me: And I give unto them eternal life; and they shall never perish, neither shall any man pluck them out of my hand. (Joh 10:27-28 KJV)