What is the relationship between the crane and the owner?

It belongs to the employment relationship, not the labor relationship. Legal analysis: if labor relations are formed between people, and the party providing labor services causes damage to others, the party receiving labor services shall bear tort liability. After assuming the tort liability, the party receiving the labor service may claim compensation from the party providing the labor service with intentional or gross negligence. If the party providing labor services suffers damage due to labor services, it shall bear corresponding responsibilities according to the respective faults of both parties. During the period of providing labor services, if the behavior of a third party causes damage to the party providing labor services, the party providing labor services has the right to request the third party to bear tort liability and the party receiving labor services to compensate. After receiving compensation, the laborer may claim compensation from a third party.