Goodgolf,
The OTT move is usually the right shoulder going out instead of down and it's pretty common in swinging, but I don't think it's as common in hitting because a hitter uses the Angle of Approach procedure and the right shoulder is a launching pad for right arm extension.
I find it much easier to keep the right shoulder back and down when hitting. Especially when using the angle of approach.
I love swinging, but hitting is just soooo good it's hard to ignore.
Bagger