Yes, I totally agree. When you mount any gun with any type of sight it should be pointed at the target. Ideally, especially with a double rifle, the gun should fit you well enough so that you can shoot it like a shotgun, without aiming & be effective at close range. Maybe it's my left handed brain. What ever you are doing is apparently right as it is working & I wouldn't dare suggest that you change a thing but there must be something I don't understand. I like all of my guns stocked & sighted so that when I mount them, even with my eyes closed, they will be pointing where I am looking & the sight will be oriented in the same direction. Different strokes for different folks. The way I do things may not be the best way & it may not work for everybody. Do you mount the gun differently with a scope or aim dot than with iron sights? I mount my rifles the same way I mount my shotguns, regardless of the type of sighting system. I must be doing something right as my batting average on running game with a rifle is close to 100%.
Obviously, we are talking about a hunting rifle here that is to be carried in the field. What I said may not apply to special purpose guns like bench rest, target, sniper or military applications.
I am not questioning what you are doing or criticizing it, I'm just trying to understand it. Maybe I should use a different mount with a scope.