(1) In general.— Notwithstanding subsection (a), until the certificate of documentation is surrendered with the approval of the Secretary, a documented vessel is deemed to continue to be documented under this chapter for purposes of
(A) chapter
313 of this title for an instrument filed or recorded before the date of invalidation and an assignment after that date;
(C) any other law of the United States identified by the Secretary by regulation as a law to which the Secretary applies this subsection.