Dennis. I'm glad that you brought this to our attention . That is keeping the head to the left. Which is not only on Spins but almost all of the time in the Standard Style of Dancing.
An exercise to do to prove a point is standing feet slightly apart arms by the side. Hold a weight in each hand, a couple of bottles will do. look to your left as in ballroom position and rotate the body as far as it will go to the left. You are looking behind you diag to the centre. Rotate the same to the right. You will only be looking Diag to wall against the LOD. You will not be looking diag to centre against the LOD unless you deliberatly allow your head to turn which is dead wrong. The mistake that gets made is turning the body without the head going with it. Next time you are out see how many guys start off looking to their left and after only three steps of a Natural have allowed their body to turn under their head and are now looking in the wrong direction. This also happens on Spinning.
I will add this. My experience in teaching a Double Reverse Spin is for both the lady and the gent to look hard to their left. And when they finish, and hopefully lower, not to be looking at each other. It does help that particular movement Why the bit about the head isn't taught in the very beginning I'll never know.