The Hawaii statute is not set up to certify an image, it is to verify the occurrence of the vital event and the facts associated with that event.
§338-14.3 Verification in lieu of a certified copy. (a) Subject to the requirements of section 338-18, the department of health, upon request, shall furnish to any applicant, in lieu of the issuance of a certified copy, a verification of the existence of a certificate and any other information that the applicant provides to be verified relating to the vital event that pertains to the certificate.
(b) A verification shall be considered for all purposes certification that the vital event did occur and that the facts of the event are as stated by the applicant.
(c) Verification may be made in written, electronic, or other form approved by the director of health.
The DOH verifies two things - the existence of the record and the facts of the record. Which they have done on all three verifications they have issued. They are not required to verify that the pdf is a true copy or was issued by the DOH or to dispute any claims being made about the pdf.
§338-14.3 (b) is pretty plain in its language. The verification is certification that the vital event [birth in Hawaii] did occur and that the facts associated with the event are as stated.
The Certificate of Live Birth is certified as a "true copy or abstract"
The Verification Letter (AZ) verifies that the information in WH COLB PDF "matches the information contained in the original Certificate of Live Birth". It certifies that "information contained in the vital record on file with the Department of Health was used".
The Verification Letter certifies that the vital record on file with HI DOH was used to verify that the WH COLB PDF "matches". Onaka is telling us that the WH COLB PDF is not a true and correct copy, but that the information "matches". In other words the WH COLB PDF is an abstract which omits information.