Just feels off...

I saw the following tweet come through from the White House:

Fresh photo: Barack Obama, Joe Biden and Bill Clinton in the Situation Room http://bit.ly/3ZqQ8k

Okay now something just I don't know caught my eye and felt off about that. Are Ex-Presidents frequently invited into the situation room?  Maybe it is all the West Wing I watched but it always seemed to me like the situation room is where the rubber meets the road in terms of a president making decisions.  I just find it interesting with all the talk about Bill Clinton's role, etc. that the White House would want this image out there. Obama is the president sure but this is going to drive people crazy I think as they wonder is Bill Clinton Obama's Dick Cheney? What exactly is his role? To what extent does he have influence of policy, decisions, etc? I think it is important to know these things.  Take a look at the photo and judge for yourself: