Final answer:
The claim that all woodwork on the Titanic has disappeared is false; some wooden artifacts have been recovered, though they are often fragile.
Step-by-step explanation:
The statement that all the woodwork on the Titanic has disappeared is false. While it is true that much of the organic matter, including wood, has deteriorated over time in the ocean, some wooden artifacts have been recovered during dives to the wreck. The extreme environment at the bottom of the North Atlantic where the Titanic rests has contributed to the deterioration of many materials, but not all woodwork was lost. Reports from recovery expeditions show that some pieces, such as protected wood within the interior of the wreck, have managed to survive in some form, though they are often in a fragile state.