There are a lot of Gang/Corporations/Terrorists Groups/Sects, etc... in Cyberpunk 2020, and CDPR said there would be plenty of crew to join in the SP, a similar thing could be fun online, so depending of what kind of organisation you're in, your objectives will not be the same.
Some kind of an MMO (don't start to scream right now, I don't want this in the game, but maybe later, for a specific game, maybe a 2020 game), with an open Night City, filled with online players, all having their job/crew, etc... could be something fun, CDPR could put some event, generating objective to each kind of clan, and players would play it their way, it would be chaotic but really fun, i think.