This is my basis for believing that they can't dispose of the 1987 assets awarded by the French Administrator.

"In the fall of 1993, Titanic Ventures sought and obtained from the Office of Maritime Affairs (Ministry of Equipment, Transportation, and Tourism) for France an award of title to the 1987 artifacts. In a letter to the head of Maritime Affairs of Lorient, Titanic Ventures stated that the 1987 expedition to retrieve artifacts had been completed and that it wished to own those 1987 artifacts that were not claimed by third parties following legal publication. Titanic Ventures also made a commitment in the letter that "the artifacts will only be used [for] a cultural purpose and will not, therefore, be part of any operations which would lead to their dispersion, but to the exception of exhibition purposes, and none of the artifacts will be sold."

An administrator in the Office of Maritime Affairs responded, in a letter dated October 12, 1993, that because no one had made any claims pursuant to publication, ownership of the artifacts "shall be delivered to the company Titanic Ventures Limited Partnership, as salvager, in accordance with the provisions of Article 13 of Decree
No. 61-1547 of December 26, 1961, instituting the system governing wreckages."2 The Administrator’s decision also incorporated Titanic Ventures’ assurances made in its September 22, 1993 letter, stating that "[Titanic Ventures] agreed to make use of such objects in conformity with the respect due the memory of their initial owners and to not carry out any commercial transaction concerning such objects nor any sale of any one of them nor any transaction entailing their dispersion, if not for the purposes of an exhibition." On October 20, 1993, the Administrator declared in formal minutes of the transaction (a "procès-verbal") that he "has carried out this day the delivery of artifacts
recovered from the Titanic wreck in 1987," listed in an attached exhibit, in accordance with Titanic Ventures’ letter dated September 22, 1993.