If all you care about is the id, ego, superego, ood, personality, memories, identity, or whatever - and not about the continuity - then there are literally 2 jins in this world now (because this was described as a "puppet that can read memories", meaning it is all that matters to be a person - makes sense since otherwise her blessing would not fulfill what she asked for and the gods wouldn't be divine or gods). Identical in all aspects from the onset, and only diverging from what they acquired and experienced from thereon.
So arguably the one that is a slave to the heroine is the most "true" jin, since he presumably lacks all those divine blessings, life-changing experiences, and freedom, that our jin has. In conclusion, this manga follows a fake.