Skaters (other than those of the figure and the hockey varieties) are not ambidextrous. Non of them. They all are fluent with the right leg over the left and so curving left. But non can do the same thing the other way round and so curving right. No one has to, everyone at all ice-rinks is supposed to go counterclockwise.Search for images of, for instance, the Elfstedentocht and watch those very able skaters going around corners to the right. It looks clumsy every time.
It makes me think of ’Kelly’s Heroes’.