Okay, I can see where the confusion about "sweet" hams can get annoying. I looked at the website for Edwards, and they seem to be one of a few purveyors of smoked city hams that they refer to as sweet. Adding to the weirdness is the fact that their city or sweet hams are indeed sweet, because they come pre-glazed. In other words they are indeed sweeter than most unglazed city hams that appear to be sold on line. For a person who didn't grow up in a ham-cooking household there is indeed a fountain of dubious information about ham.
After reading my own post I almost confused myself.