This is NOT totally naked! It's only topless. Though I DO recommend that if you are a rather well endowed girl, do not try it unless you plan to knock your self in the head with your boobs. Being found naked on a sticky mat with a head injury is not a good way to be found by friends or family. I don't think this will make the 'class' rage.
I will say that I found it on the online verision of the SUN, a tabloid. BUT there are several topless and or naked yoga vidoes you can purchase. They take those yoga sessions just as seriously as the professional wearing clothes. Like I said, I don't think it will make the class rage. Most people would want a seat in the back just to watch everyone else. :)