With or without Solas you get symbollic XP and influence (cca 40).
I'm pretty sure I activated every single possible one except the one in the area with 3 dragons, Solas says it's there somewhere by middle arena stairs, but wherever I looked, I just couldn't find it so dropped searching as I was sick and tired of wasting time on grinding and respawns in this game.
And I didn't receive any orb boss fight. If it's a quest, tell me it's name, I'll check if it's under solved ones (solved everything that was). If no name of the quest, I'll assume it's just an urban myth.
EDIT:
Found the quest name in another thread.
The quest is called What Lies Dormant.
I didn't receive it at any point of the game. Also I didn't romance Solas if that matters.
But I did receive and solved quest Measuring the Veil.
What's odd is All new faded for her. That's a quest to free or kill a demon trapped by pillars. I solved that one too (destryed pillars but didn't let Solas to kill mages), but it isn't listed in my solved quests anywhere. Not under Inner Circle, not under Exalted Plains. Maybe I should have allowed Soals to kill those mages? I didn't see them anywhere afterwards anyway. Or, just like All new faded for her, What lies dormant simply isn't listed under solved quests anywhere. What was I supposed to do in that quest and where exactly?