I've noticed some odd behavior in Perpetual Questing Initiatives. Basically, if you click the little flag, it sets you up with the given combination of Race & Class, and you automatically start with the prep screen. But you can "pick up" the quest by just playing the given map with the given class and getting the prescribed badge. In fact, race doesn't matter if you do it like this.
For example, I just got a PQI for Warmonger Goblin Rogue on Grimm's Grotto. I clicked Grimm's Grotto, picked Orc Rogue as my build, and proceeded to win while getting Warmonger; and I received the PQI reward in the end.
So Race doesn't seem to matter for PQI completion, it's just that if you go in via the flag, you get it selected automatically and can't change it (but you can just go in normally, and then you can pick whatever you want).