I’m not sure if it’s intentional? If so, maybe it’s worth discussing?
If you unwatch a scene, it drops you out of the pose order. I accidentally clicked the little eyeball on my iPhone. 
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That’s intentional. “Unwatching” the scene is the mechanism by which you remove yourself when you are no longer participating. It’s the web equivalent of leaving the room (which also removes you from pose order).
You can just re-watch and pose back in if you want to be back in the order.