Remitter Issue is "The sending or placing back of a person to a title or right formerly held; the restitution of one who obtains possession of property under a defective title, to his rights under some valid title by virtue of which he might legally have entered into possession only by suit."
In other words, in the case of the change of name affidavit, it means that the change of name applies to everybody that would have, would have had (if they knew it) or will have the right to bear the new last name and that have not been named before in the affidavit
In Franche I am translating it as proposed above

A mon avis il faut étendre aux membres de la famille sans se limiter aux descendants.
Cordialement