Yeah, to me it just looks like they've taken the lead and done a leash wrap with it. You can make even a normal 6ft nylon lead into a leash wrap.
As for pulling, I find that a harness doesn't typically do a lot to stop pulling, and in fact in some dogs it encourages it - it takes the pressure off their neck, which is good, but without that negative they are pretty free to go to town; and also in some dogs they kind of dig that opposition reflex thing and pull harder in a harness because it's fun.
The idea behind a leash wrap, when positioned high up on the dog, is that when it tightens, it tightens right around the armpits and "pinches." As to if this actually does anything to teach the dog pulling = pain and discourages pulling, eh... it doesn't seem to do so for most. Part of that might be the wrap has a tendency to slip down along the dog pretty easily, so it's rarely in the "correct" position to pinch the armpits of the dog, which makes it ineffective. Also, most of these dogs have been straining on their collar for so long, choking themselves, and they have basically decided pulling is more rewarding than not feeling pain or not choking - so trying to pinch their armpits instead isn't going to do much either.
What I have noticed about doing a leash wrap or using a harness is it makes it a lot easier for the handler to control the dog even if the dog IS pulling, and takes a lot of the strain off their arm. With the handler feeling a lot less like they're just being dragged all over the place and their arm is being yanked out of their socket, they're better able to actually train the dog. But it's not a magic bullet or anything in the overwhelming majority of cases.