Well I spent some time testing this and I can't consistently replicate the problem, but it seems that sometimes when you record an animation multiple times the objects stop moving, no clue what that is about.
But if you erase the animation (Plugins -> SketchyReplay -> Erase Animation), it will work the next time around, it has done for me every time.
And if it's still no good upload the model so I can take a look at it.