For me, it begs one question.
At what point does it end where the Inquisition needs to get involved in other country's affairs?
Say there's a bandit problem in Crestwood that is attacking both the town's and the Inquisition's supplies.
On who does the responsibility lie to deal with them? The local bann or the Inquisition?
I think the Inquisition works great as neutral third party, like being the mediator for negotiations between Ferelden and Orlais, but the Inquisition also acts with impunity and without regard of others and their opinions.
What if Ferelden goes to war with Orlais (or vice-versa.) Is it the Inquisition's role to stop it or simply allow the two countries to duke it out?
I was thinking of this when the Inquisition essentially seized control of the Winter Palace and an Inquisition guard attacked an elven servant, I knew something was up with the servant thanks to Sera and I suspected she was a Qunari spy, but at the same time, we had no real evidence that anything was going on until AFTER I made the choice on who to arrest in the form of the qunari note.
The Inquisition was there as guests yet effectively declared martial law on the palace, and that one guard threatening the orlesian guard was NOT doing us any favors.
The fight may not have been over thanks to Solas, but the Inquisition was now on a very slippery slope, and really, how many people would believe that "the dread wolf from the elven pantheon was about to destroy the veil and kill all life in his attempt to restore the elven people to what they were?"
Inquisitor Adaar disbanded the Inquisition because it felt like the safest thing to do.