Right, and on snow, when your hips face downhill, it's probably steep and you're making shirt turns
Which is exactly when you want to strongly pull the inside for back, otherwise you will be back at the beginning of the next turn
Not at all. With the technique I use in steeps I allow that natural tip lead to develop as a result of the appropriate amount of counter for a short radius turn. Then using a long leg - short leg turn initiation (new inside leg shortens while new outside leg lengthens, and with proper movement of my CoM downhill, I am instantly over the ball of the foot of my new outside ski. No danger of getting back.