If he technically is “dead” on Earth-1, maybe that satisfies his bargain with The Monitor.
It is still a sacrifice, as he misses his daughter’s entire life aside from his brief time with her as a baby, and most of his son’s life, not to mention the separation from his wife, friends, and remaining family.
After all, the end of Arrow Season 7 proved that everybody on Earth-1, seemingly with only the exception of Felicity, believed Oliver died by the time of the Star City 2040 flash-forwards, and Felicity was being taken to wherever Oliver was by The Monitor.