Mmmm.
And here we come to the crux.
The organization can be entirely about generating power and wealth for its leader.
._.
You can literally say that.
"I do this **** to get paid"
Kudos your boss is a mercenary which makes you...?
Come on; as you just said, the organization's GOALS matter, not what its individual bits and pieces think right?
So when the boss only cares about using you as a private army to make himself rich?
The inquisitor, or at least my inquisitor doesn't use them for that goal, and I don't think we ever even get the option to say that canonically. But if you do, then taking the Inquisitor out of the equation, both Leliana and Cassandra, the past left and right hands of the divine, started it. Their goal was always order from the very beginning, restoring and fixing the circles and chantry on the way.
So perhaps in your game, your inquisitor's motivation is just coin, but not with mine. And since we don't yet have a canon Inquisitor and I doubt we will, I think the only people left to go by are the advisors, none of which serve for gold, or because they think doing so will save their souls.
I'm trying to level, but outside of personal headcanon to the inquisitor themselves, I can't see them being anything close to a mercenary organization. They're much bigger than that. And even with that personal headcanon, the actions you're forced to take for story suggest that the organization's much more than that, and that the goals are clearly different than what your personal inquisitor is motivated by. In other words, no matter your intent, it's clear that the goal of the inquisition no matter what you do is always canonically to restore order in Thedas.