Its possible in the You Tube video that the maker had changed the skewer all ready. I have that model of Turbo and I had to change my skewer, and I also leave it in for normal riding. Also one of my road bikes also has a skewer in, identical to the supplied one, so they are not unique to the turbo, but just to make your bike compatible to the turbo if your original skewer does not fit.
I've just actually had a look at a video on Youtube, and they have the skewer clamp on the drive side. I always thought it should be on the non drive side.