In my opinion placing the barrel off-center allows you to not worry about pitching the exhaust leaving the barrel. My barrel is as far off-center as it can be with no negative effects, ie the insulation is touching the barrel. Well, one down side is the exhaust side of the barrel gets hotter, while the heat riser side stays relatively cool. In my build this was desirable as I have the brick wall that needs to be warm, but not hot. (See image)
