When I duplicate an animation with keyed FlipX or FlipY, none of those flip keys/timelines are in the new copy of the animation.
Steps:
1) Open Spineboy. Select the Walk animation.
2) Add some flip keys to root, and to other random bones.
3) Duplicate the Walk animation. (click the duplicate button at the bottom of the tree)
4) Play the duplicated animation. (Flip keys are nowhere to be found)