I think the show Severance covers this topic well even though the premise is slightly different, I believe the result would be the same. You have a fork of your existence basically since the self and its experiences are local to the entity of the particular snapshot and you’d grow and diverge. How much you diverge depends on the environment and stimuli you experience.

While it doesn’t answer your question this episode of the Decoder Ring podcast gives a good history of ice cream trucks and how they got the jingle.

https://podcasts.apple.com/au/podcast/decoder-ring/id1376577202?i=1000446695402

“I don’t have the time or the crayons to explain it to you” is the best response.