Definitely splitting hairs. Just call it a sweep. I don't really see how you would fluidly get to the "stern draw" without doing a sweep. In the slalom video and the NF video, the paddlers look to me like they are doing sweep strokes, not "stern draws."
But, of course, you can call all these strokes by whatever name you want. Bottom line is that there are different strokes that are ideal for every situation or paddling style. No matter what, keep a good and aggressive body position.