DA at any range isnt really an issue, and with some guns its actually easier.
Shooting my 4" S&W Mod. 29 with heavy loads "at any range" improved greatly when I shot it DAO. With some guns, knowing when that round is going to go off, is actually a hindrance, and you tend to start losing focus where its more important.
Ive found all my "group" shooting is usually better when I shoot DAO, than if I shoot SA. Shooting DAO forces you to focus on the sights and worry less about the trigger, which really helps, when shooting heavy recoiling guns.
Shooting DAO also improves your other shooing, as again, you worry less about the trigger, and focus more on the sights and/or target.
I think most of the resistance to DAO shooting, comes from those who arent used to shooting that way, and are coming from a SA mentality and trigger familiarity. With a little practice, and as with anything else, a lot of dry firing, I think youll start to see the perceived bad things start to fade away, and your DAO groups start to shrink, even to the point they surpass your SA groups, and you will see an general improvement in all your shooting overall.