The trader Secundoma responded immediately to my return request. Although I actually requires sending a original Apple cable, the dealer did not mention this, but did refund me the purchase price and asked that wrong cable to dispose of. Since no shipping costs were incurred which arose me no financial loss, but it is already annoying, if not the advertised goods are delivered.
At the end it is worth it not well to look for favorable Apple cables because the replicas offered obviously do not include the licensed chip for the original Apple Lightning cable and therefore should not work even with the iTunes software.