Does gta online support cross progression with story mode characters?

The question asks about GTA Online's cross-progression with story mode characters, but the evidence provided is about Red Dead Redemption 2, an unrelated Rockstar Games title. Based on general gaming knowledge, GTA Online and Grand Theft Auto V's story mode are separate experiences with different progression systems. Story mode characters and their progress do not transfer to or sync with GTA Online sessions. Rockstar Games has not implemented cross-progression between these modes, meaning players must maintain separate progress for each. Since the provided evidence does not address this topic, the answer is based on the absence of relevant information rather than explicit confirmation.