The official Star Wars website disagrees with you so I'm not sure what "facts" you are citing.
"Rey then traveled to Tatooine to bury the lightsabers of Luke and Leia in tribute to her mentors. Unveiling her own newly constructed Jedi weapon, she took the name Rey Skywalker".
Also is the last character is closer to the Original Era than the Sequel Era in terms of timeline.
"Rey then traveled to Tatooine to bury the lightsabers of Luke and Leia in tribute to her mentors. Unveiling her own newly constructed Jedi weapon, she took the name Rey Skywalker".
https://www.starwars.com/databank/rey