Had you looked right next to it...
But HRS 338-18(a) allows state laws and DOH rules to govern the disclosure of vital records,...
You would have clearly see the following;
(f) Subject to this section, the department may direct its local agents to make a return upon filing of birth, death, and fetal death certificates with them, of certain data shown to federal, state, territorial, county, or municipal agencies. Payment by these agencies for these services may be made as the department shall direct.
(g) The department shall not issue a verification in lieu of a certified copy of any such record, or any part thereof, unless it is satisfied that the applicant requesting a verification is:
(1) A person who has a direct and tangible interest in the record but requests a verification in lieu of a certified copy;
(2) A governmental agency or organization who for a legitimate government purpose maintains and needs to update official lists of persons in the ordinary course of the agency’s or organization’s activities;
(3) A governmental, private, social, or educational agency or organization who seeks confirmation of a certified copy of any such record submitted in support of or information provided about a vital event relating to any such record and contained in an official application made in the ordinary course of the agency’s or organization’s activities by an individual seeking employment with, entrance to, or the services or products of the agency or organization;
(4) A private or government attorney who seeks to confirm information about a vital event relating to any such record which was acquired during the course of or for purposes of legal proceedings; or
(5) An individual employed, endorsed, or sponsored by a governmental, private, social, or educational agency or organization who seeks to confirm information about a vital event relating to any such record in preparation of reports or publications by the agency or organization for research or educational purposes. [L 1949, c 327, §22; RL 1955, §57-21; am L Sp 1959 2d, c 1, §19; am L 1967, c 30, §2; HRS §338-18; am L 1977, c 118, §1; am L 1991, c 190, §1; am L 1997, c 305, §5; am L 2001, c 246, §2]
That is probably the reason the author put the link in there ya know, so, like, you can actually click on it to see the info...
I don't have time to check everything, nor do I have time to read everything. That's why when I see the very first claim in an article to be wrong, I generally don't bother with the rest of the article.
And no, the section of the rules you quote doesn't support the article's first claim, either.