I'm missing something here? What's the purpose of being solo in a Team setting anyway?
I think Hans has it right - the ability to get a detailed loot log and a team target distance on space mobs, for example.
Hans suggests implementing this without the team element by different programming, so that indeed there may be little point in being solo in a team.
Edit: Oh, and ty MA for catching the comment that 'available everywhere' for the Mayhem events was not accurate. At least the rules now state access can be from any planet, which is clear, even though I'd have preferred access from an MS or station in space too...