With regard to a pension for surviving family of a person who, on any day during the period from August 1, 1980 through the day before the Effective Date, has the right to receive a pension for surviving family to which an amount to be added pursuant to the provisions of Article 62-2 of the Employees' Pension Insurance Act has been added (including insurance benefits that follow the example of the previous pension for surviving family and widow's pension paid pursuant to the provisions of Article 16, paragraph (1) of the Supplementary Provisions of that Act, to which an amount to be added pursuant to the provisions of Article 62-2 of that Act as applied mutatis mutandis pursuant to Article 16 of the Supplementary Provisions of that Act has been added, and excluding a pension whose payment is suspended in its entirety; the same applies hereinafter in this Article) and who, on that day, is able to receive payment of the benefit specified by Cabinet Order prescribed in Article 65-2 of that Act as amended by the provisions of Article 1 (excluding a benefit whose payment is suspended in its entirety; hereinafter in this Article referred to as "other public pension benefit"), the phrase "the amount to be added" in Article 65-2 of that Act as amended by the provisions of Article 1 is deemed to be replaced with "the amount obtained by deducting the amount to be added pursuant to the provisions of Article 62-2 of the Employees' Pension Insurance Act prior to its amendment by the provisions of Article 1 of the Act Partially Amending the Employees' Pension Insurance Act, etc. (Act No. 82 of 1980) from the amount to be added"; provided, however, that this does not apply when the payment of that pension for surviving family, or of the other public pension benefit paid to that person, comes to be suspended in its entirety.