Intriguing question. Actual location of the Titanic was different from the first calculated position. What did the job was modern sonar, interpretative equipment, etc., even the drift of the falling wreckage under water (currents, temperature, pressure, etc) to its final resting place had to be calculated. But as to the movement of the present site: there's no serious influence except the movement of the crustal mantel, which you mention. Good question. Chow.
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