How does character progression work between gta v story mode and online?

The provided Wikipedia excerpt establishes that Grand Theft Auto Online is the online multiplayer counterpart to Grand Theft Auto V, sharing the same fictional setting of San Andreas and Los Santos. However, the evidence does not address whether player characters in story mode (Michael, Franklin, and Trevor) or their progression systems carry over to the online experience. The excerpt describes GTA Online as allowing players to create a customizable silent protagonist with access to cooperative and competitive modes, but it does not specify any mechanical connection between story mode character development and online progression. Without additional evidence, it cannot be confirmed if achievements, skills, or narrative elements from the single-player campaign influence the multiplayer experience, or vice versa.