I interpretted it as the rebellion is reborn in spirit. It’s still technically the Resistance. It’s like how the track “The Starkiller” is a sort of play on words, since the base is called Starkiller Base, not the Starkiller.
You’re gonna need a source for that claim that Leia won’t be in Episode IX. AFAIK, all they said was that they wouldn’t reconstruct her with CGI. I’m expecting them to repurpose footage from Episode VIII. If they weren’t gonna feature her at all in the next one, they would’ve had her die in VIII.
Anyway, the ideas proposed in your crawl are just an utter mess.