I'm afraid that is not the case. I just looked at three animations where this was happening and in all three neither "auto-reverse" or "rewind when done playing" was selected.

However, it did clue me in to something else. When I use the "Peak out" exit animation, the image "warps" back to its original location (before the motion path animation). But other animations will play with the image in its final position.

So it seems to be specifically tied to the Peak Out animation. Anyone have any insight as to why that one? Or how to change it?