I only use a cross draw on two occasions.
One is when hunting, I carry a Ruger Blackhawk in a belt holster on my weak side. Since I'm carrying a rifle as well it keeps the rifle from banging into the handgun while moving thru the woods.
The other is when I'm on a tractor or 4 wheeler doing chores around the farm. In that case I use a GI style shoulder holster that places the weapon accross my chest rather than under the arm.
When carrying concealed....it's always on my strong side hip.