All I am seeing is the cloth sliding and becoming a bit off center. It seems to happen because of the randomness in the simulation and the movement of the folds.
I think it might just be because the simulation has a bit of randomness in it. The cloth has slightly different folds on each side, which means it moves a little different on each side. With the cloth balancing on top of an object, the slightest difference could make it slide. Once it has started sliding, there is now more weight on one side and it starts to self-amplify.