Sonia Henie did clockwise Lutz jumps and the remainder of her jumps and spins in a counterclockwise direction.
A lot of coaches can do basic spins and single jumps in both directions because they have to demonstrate for their skaters who prefer each direction. This is especially true for coaches whose preferred direction is clockwise, since most of their students will rotate counterclockwise.
Yes, this is required on the moves in the field tests in the US and similar tests in other countries. School figures also used to require all the turns on both feet, edges, directions.Skaters must also learn to do their edges, and cross-cuts clockwise and counterclockwise for their basic skating skills.
Actually, John Curry USED to spin clockwise and jump counterclockwise before going to work with Carlo Fassi. Carlo made him relearn his spins CCW and it magically made his (few) triples more consistent.
It's such a b**** being a CW skater on a busy FS session because all your element set ups are exactly opposite everyone else and coaches who teach their more basic students in corners tend to choose the CW Lutz corner because "no one uses them" which is VERY annoying. Having been in rinks for the most part of my life, I've typically been around very few other CW skaters, although two of my closest skating friends are also both CW skaters.