Problem with Coop playing doing Echoes

Got a problem advencing through the timeline echos with a gaming partner. Coop group works OK building stability points to the timeline boss quest (240 stability pts). We kill the boss but only the team leader gets credit. The bad thing is both members lose the stability points. The coop group has to do echoes again to build up the 240 stability points before they can kill the boss again.

This soloing the boss is not fun when you want to play the game with your friend