The player details lists global stats about a players record after they've finished a few games they've finished a few games so it's more there to tell you about that players experience level than how they're currently doing. Since no games are currently finished everyone's still at zero.

Wrath - Yes, the chat icons indicate players online. Although in terms of work being done by the server players are effectively always online since you have harvesters running trade routes, ships enroute to locations, research being done etc.