Step 1: hold up by a short edge, fold vertically. (In half or thirds, your choice.) Step 2:tuck short edge under chin, reach down and grab edges at hip level. (For my body that's dead center of the towel length, but I'm short. You might have to grab waist-high. Check in a mirror and from then on you can do it by feel.) Step 3: Let go with chin and raise center, creating a folded edge. Step 4: reach out over a surface, touch down the unfolded edges and lower the folded edge towards you until it's halfway, then push the folded edge away and lower it atop the other edge.
I grab two corners along the long edge and pinch with one hand, and slide my other hand along the length until it's tight in the middle, then I just meet that to the corners in my other hand, then turn it to the side and fold in half
Can't relate cause I've gone out of my way to avoid seeing that video. Somehow I've managed to avoid seeing it for the 17 years it's been around — literally half a lifetime ago for me — yet I haven't even seen a screenshot (oh god I'm getting old).