action in blender render confusing me in BGE

I had written a panel that imports a path curve to an action. It works fine with blender render. But if I start the same action by using the BGE the result is confusing myself. (165 KB)

Please find attached a simplified .blend. (I know so far that it has something to do with the apply rotation. But even if I do so, the result is not the same…)

A better description for the same problem can be found here: