Difference is mostly in the coloring. New growth on Gulf Stream is a rusty, coppery orange. New growth on Burgundy Wine is a reddish burgundy. Colors also develop with colder weather. Both get to around the same size and neither are heavily inclined to flower. I have never seen flowers develop on Gulf Stream in my area........Burgundy Wine is too new to have a established much of a track record yet but also have never seen in flower here (IME, rarely do dwarf forms of nandina flower).