The purpose of naked yoga is the shedding of negative body image and developing a sense of freedom, confidence and self-acceptance, certainly all good outcomes.
But after I'd thought about it for a while, it occurred to me that, even when practiced clothed, there's an element of nakedness to yoga,
"Leave your ego outside," says my yoga teacher, who also reminds us to refrain from judgement and, in fact, all thought. "For the next hour leave your mind between the last thought and the next thought," he often says.
And so for the true practitioner of yoga under the correct guidance of a good teacher, clothed or unclothed should be irrelevant.
And when you think of it, when everybody's naked then nobody is. In fact the worst kind of nakedness has to be feeling alone, different, vulnerable, left out, judged or laughed at by people who, in truth, are using their judgement of you to clothe and cover up their own feeling of nakedness.
As for me, I'd find it far and away easier to do naked yoga in a class than to sit alone in front of a audience and perform a piano piece,
http://www.dispatch.com/content/stories/local/2016/09/13/1-naked-yoga-participants-cite-feeling-empowered-shedding-body-image-shame.html