I unfortunately am researching a relative's possible beginning Alzheimers right now, so have to go.
... and if that dancer looks at the floor, she’s still perceiving herself as spinning in the same direction that you perceive as an outside observer, there is no reversal. Stand behind her, it’s the same. Front, back, the same. The visual representation of the plane upon which she’s spinning is just as solid as she is, therefore theperspective from beneath her is unavailable to the observer accepting of the visual representation. No one but an engineer would take issue with describing her motion as clockwise or counterclockwise. I assume you are one.