Very few of us can cock both hammers at one time, so we cock the close hammer to take the first shot. It is hard to reach the off hammer for the second shot if you take your first shot with the close hammer (right hammer for a right handed shooter). The solution is to cock the off hammer on the mount and take your first shot with the off hammer. Cocking the close hammer (the right one) after the first shot is a piece of cake, almost as fast as pulling the rear trigger on a hammerless gun. Your grip on the gun is not disturbed as it is when switching from right to left after the first shot.
Except pretty much every sxs out there made for a right handed shooter, unless it has the same choke in both barrels has the tighter choke in the left barrel. Makes no sense to me to make the first shot with the tighter choke when the target is closest, then follow-up on a more distant target with a more open choke. Of course, if you are shooting a modern gun with screw in chokes you can configure it to use as you suggest with the tighter choke in the right barrel. Then again, perhaps I am not understanding your post correctly.
