Yes they do! Never witnessed deer brosing sweet gum. As invasive as it is, deer should have plenty of food. I'm with you crimson, seems like it would be way down the preferred list. Deer will browse anything, but i would think if you had a lot of honeysuckle,greenbriar,blackberry, poke salad, and black tupelo, that the deer wouldn't browse sweetgum near as much. If they love it so much, why is everyone trying to rid there property of it?