John 1:
12 But as many as received him, to them gave he
the right to become children of God, even to them that believe on his name:
John 3:
16 For God so loved the world, that he gave his only begotten Son, that whosoever believeth on him
should not perish, but have eternal life.
Rev. 3:
5 He that overcometh shall thus be arrayed in white garments; and
I will in no wise blot his name out of the book of life, and I will confess his name before my Father, and before his angels.
The Right to become, does not necessarily mean they will become, but they have the right to become.
" Should not perish " is a conditional preposition, doesn't say they :: Will not perish!
REV. speaks for itself.