More examples: In speed skating, going counterclockwise enables right-handed skaters to use their right arms to swing and generate/preserve momentum.
Has anyone seen a merry-go-round go clockwise lately? Or, for that matter, a rollercoaster (what about a Ferris Wheel--not so sure about that one)?
There must be several possibly unrelated reasons for all these instances. But right-handedness seems to be quite a dominating factor in a number of them. That must be why it's the man's RH that is under the lady's shoulder blade, and not LH.