For all the tea jokes, I was thinking about factions. Like, in Origins, Loghain's beef isn't so much that the Blight isn't a real thing as that it's not as important as keeping the Orlesians from re-invading Ferelden.
So in DA:I, you might perhaps have, say, factions of nobles who'd rather suppress an elven uprising and are willing to put up with a few pissy demons to achieve that. Or factions who'd love to get rid of the demons but not if a frickin' Qunari is going to be the one doing it.
Maybe there are factions who would prefer that the Grey Wardens handle the demon issue (demons, darkspawn, same diff), or that their own home-grown mages do it, rather than have the Chantry/Inquisition do it.