If it's from Burling, you're probably right. I think she's the only one on this continent who sells Hot Chocolate, and I trust her completely to name her roses correctly, alhough Hot Chocolate is one of the alternative names of Hot Cocoa. I was looking at the shape of the blooms when I wondered about it. The Hot Chocolates that I've seen have a tighter petal arangement, more like an old-fashioned rose. Your photos show a looser, more open arrangement of petals. The thickness of the petals, though, is an important difference, so I'm sure you're right. There's no better test than growing both and noting the differences between the two.