My only thought, and this is admittedly after thinking on this for quite some time, is that this may be a form of Qigong?
There are many Qigong forms, with all kinds of names. This may be a form of Qigong that just happens to have the same name as the Yoga.
We've got a lady in our town that used to teach (she still may, but I've not seen anything about her in quite some time) what she called "Dragon and Tiger Form Qigong". It looked an awful lot like 8 Pieces of Brocade to me, but that's not what she called it.
I would imagine as long as you give it a vaguely oriental sounding name, and especially if you associate it with dragons and tigers and moons and suns, that it will sell a trifle better here in the U.S. of A.
That is no disparagement of Moon Salutation or any other form or style or practice, just a pretty good marketing technique.
As long as it's genuine Qigong or Tai Chi Chuan or Bagua or Xingyi, what difference does it make what you call it?
All I got.