The correct answer is A) Fiber core rope offers greater flexibility. The key advantage of a wire rope with a fiber core over one with a wire core is the increased flexibility. The fiber core provides a more supple or pliable construction compared to the more rigid wire core. This greater flexibility allows the wire rope to bend more easily around sheaves and drums, which is an important characteristic for many maritime and rigging applications. The other answer choices are incorrect, as the fiber core does not offer greater strength, higher operating temperatures, or any exclusive authorization for cargo runners compared to a wire core.