If, within 2 years after the death of the employee, no claim for payment has been filed by a person entitled under the order of precedence named by subsection (a) of this section, and neither the Office nor the administrative office established by the company concerned pursuant to
section 8709(b) of this title has received notice that such a claim will be made, payment may be made to the claimant who in the judgment of the Office is equitably entitled thereto, and the payment bars recovery by any other person.