No. The "choices" the Qun talks about isn't a choice in the way we colloquially use that word. There's only one choice in the Qun: to accept your role or refuse it.
Wrong again. The choices in the Qun are just like they are in the other cultures of Thedas and our world. One makes choices, either in is station (a baker makes baker's choices) or they make choices to better their station (a baker can make the choice to perfect himself in baking and other works, which will certainly lead to him gaining a better station, just like a Sten can become an Arishok through his choices and actions, and an Arishok can be demoted for the choices he makes). The belief that the Qun only offer binary solution is a fallacy, born out of a deep incomprehension of what the Qun is.
Takes Iron Bull as an example. Is storyline is the epitome of what choice is for the Qunari : he can choose to save the Chargers or to let them die. It is a choice he made, since he could refuse to do as the Inquisitor urges him to do. But he made the choice to do as the Inquisitor said, because he couldn't trust is own judgement. From this first choice, there is a bifurcation :
-Bull saves the Chargers. he cease to be a Qunari. He is now alone, bereft of a culture, or anything to belong beyond the Chargers and the Inquisition. It obviously hurts him, but he accepts it because it is a choice he made and he follow this choice to its conclusion, being that he can't ever see again the Tamassran he loves so much and who was basically his mother. We see again a conscious choice from Bull in Trespasser when he reject the possibility of being accepted again in the Qun that the Viddasala offers him. He has rejected it once, now he must wander Thedas as a Tal-Vashoth.
-Bull let the Chargers die, and he becomes Hissrad again. Then he made the choice to stay with the Qun, whatever the cost. He is deeply affected by the loss of the Chargers, but the pain does not prevent him from accomplishing his duties and missions. He go as was intended and when the Qun call for him against the Inquisitor, he sides with the Qun, fully knowing that he would probably die. If he feel no pain at this moment, then it is clearly because he has accepted such possibility long ago. It is the consequence of a choice he made (no matter what Solas, the worst judge ever when it comes to modern Thedas as a whole and the Qunari in particular) and he has to accept it.
Another example would be Sten in DA:O. When he killed the farmers as he awoke without his sword, nothing was preventing him from fleeing to search his sword. Had he found it alone, then he could have returned to Par Vollen and nobody would have been the wiser. But he doesn't. He makes the choice to stay and be captured without resisting his arrest. And when the Warden get back his sword, he makes the choice to stay with him/her when he could have left again at this moment, his honour restored. Those are choices.
Even Ketojan makes choices. It is him who have chosen to help Hawke when the latter was returning him to the Qunari. It was Ketojan who made the choice to not attack Hawke if the latter refused to let the Arvaarad get the Saarebas back. And it is Ketojan who had chosen to return to the Qun, fully knowing what fate awaited him. And it is him, once again, who kill himself, believing that it is the better choice.
And if the Qunari are wrong and evil because they make choices based on the Qun, a philosophy they see as leading to a better and brighter future for all, then are we not all, IRL, guilty of the same "false" choices ? After all, we all makes choices based on what benefit us, often times we act upon beliefs and creeds, and if our choices are bad for the rest of the world and the people around it, we often do them again while trying to escape their bad consequences for us only. So which is the true choice : the one were you always have to suffer the consequences of your actions, ill or good, or the one which allows you to slip away and let another be the scapegoat ?