There is a reason that I use a cross draw when out and about and it may have applied back in the day. During hunting season, or whenever I am carrying my rifle or shotgun, I tend to carry it in my right hand, or sling it on my right shoulder. If the pistol is on your right hip, the rifle stock tends to get a lot of damage very quickly. A pistol on the other side is out of the way, and only a little inconvenient for drawing.