Hi Anna
It's interesting because we do a spin turn, back turning lock (backing LOD) opening out to promenade.
I've been told that 'no sway' is the English style. Correct and nice if done properly. Sway to the right is the 'italian' style. More volume, harder to do well, but more interesting.
We do the sway to the right version. I find it brings my body round, helping my partner move round me smoothly, and there is an 'over-the-top' feeling about opening in promenade, which is nice.
I have a habit of collapsing a bit to the right, instead of projecting myself up and out to sway. But i know about it, and i'm working on it.