"Check that the left palm is facing across the body, any turn of the hand even slightly anti-clockwise can cause problems for the lady."

Wrong, wrong, wrong. The hand is more parallel to the body than facing it - tango of course is different but we aren't talking tango.

"Or does she know that the man has the greater distance to travel being on the outside of the Turn."

The problem described is that of a man who does not know this. Because his open left side is initially on the inside of the turn, he tries to turn too sharply. Instead he needs to progress before turning - but while still indicating that a turn is being made. Hence the knee tuck (CBM) in step 1, but the linear travel with the full-body turn delayed until after.