Seems that when you were quoting the law in Hawaii earlier you would have read this part:
§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.
Do you see the part that says "in lieu of"??
It is not there for the purpose of guaranteeing the genuineness or authenticity of any other document.
You need to review the rules of evidence, because the self-authentication rule contains language requiring the custodian of a government record to attest that the record is correct. IOW, if one is to request a letter of verification IN LIEU of a certified birth certificate, it would fall within the scope of the custodian of that record to certify that the record in question is a CORRECT copy of the record. The Hawaiian statute says the custodian shall (must) verify any other information pertaining to the event as stated by the applicant. IOW, the letter of verification does NOT have any probative value if it cannot verify that the record in question is a correct copy of the official record on file. Alvin T. Onaka Ph.D. specifically avoided this verification as state by the applicants in the letters requested by both secretaries of state in Arizona and Kansas.