In which you are wrong. Your cost/benefit analysis is different from those of many other people, and you put different values into the variables. Logic only comes into it after you've put those values in.
I say you are ignoring important dimensions of the decision by refusing to consider anything else but the mission objective. The alliance does have value, and so does the mission objective, but so do the lives of the Chargers, Bull's future, and the strategic, political and ideological ramifications of your decision. The weight you give to these elements determines what the logical decision is, but logic alone cannot determine the weights you give them.
Not at all I haven't play this game to completion, I cannot it is unplayable, because the HIGH DARGON achievement is broken and I missing my inquistor instructors who have vanished, I am level 23 having completed their quest and built their mats.
I could not care less for what some are saying is pointlessly gained from not having a romance. I know that the first throne I got fully upgraded was Qunari due their alliance, unlocking that achievement. I did not complete the 3 part Ben-hesserth mission because it was really confusing, and I wasn't going to reload @30+ hours of war table operations to attempt again. I have a new Ben-Hesserth war table operation from their alliegance. I have used the Qun as Allies in other indirect war table operations.
I played to win the objective, stopping the trade of Red Lyrium from the coast. This was more vaulable then the lives of soliders, who were there to complete the objective, and follow orders. Making future allies who directly benefited me more at the time of this mission. it wasn't my fault Iron Bull didn't lead his own company, provide them with the right gear, or anti mage training. Not to consider later sentiments.
Approval mostly means nothing, it was designed like court approval, mostly pointless. To get you relistening replaying every conversation spending more time playing. The same events occur mostly no matter what providing you make the big descisions correctly.
I am sorry that logic is so lost on some people