Serendipidy
Sorry, I gave you an American version of a spot turn which is the same as the International switch turn. However the spot turn is the same as I described except that the right foot doesn't stay in place on step two. Maybe your definition of a swivel is different from what I am calling a swivel. American style has several different kinds of swivels.
Sorry but I couldn't follow your description at all. I think it has some errors. Also when you look at the description on this website for the spot turn, it is actually describing a switch turn. There doesn't seem to be a description of a spot turn. Also that description has the second column offset one line too low. Move the second column up by one line and it will read OK.
Serendipidy said "The way you have described your first step is with you already turned instead of towards your partner. If you did that and stepped LF fwd and across your body you would be going out side ways wouldn't you."....
No, I started facing partner, turned 1/4 turn to the right and stepped forward, same as the video clip (both of them).