I've heard it referred to as "Double Smoked" because 9/10 it's smoked before you get it and warming it in the kettle/smoker smokes it a bit more or doubly.
We're having ham on Christmas as well as pork loin on Christmas, but my wife insists on cooking it her traditional way which is fine with me. However, all she'd have to do is mildly suggest I take a swing at it and I'd have those kettles going with a big smile on my face. ; )
We get Publix spiral sliced hams and they are the bomb as is. I'd love to try a Matt Pittman approach to one though.....